Paper Citation Record · LEDGER

Dehn Sommerville Manifolds

As of 8 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 1 inbound Pith citation observation for arXiv:2508.14372.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2508.14372 v1

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T18:53:58.275281Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T18:23:20.279499Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

56 of 56 outbound references displayed

verified exact17
verified fuzzy20
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 77f9c8e1-042d-4f71-b884-3b4c572e8a6d · outbound

This paper cites Albertson and W.R.

Dehn Sommerville Manifolds Albertson and W.R

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:11.124803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cd8129b5-eaed-410c-a472-701d341b4260 · outbound

This paper cites Alexandroff.

Dehn Sommerville Manifolds Alexandroff

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:10.844508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation af9f0285-ac1e-4230-b66d-72f1b8f2d649 · outbound

This paper cites Barnette.

Dehn Sommerville Manifolds Barnette

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:10.565350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bf717e72-0807-4a9f-8d6d-4b523c022af0 · outbound

This paper cites Bayer and L.J.

Dehn Sommerville Manifolds Bayer and L.J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:10.279046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b3089d39-33cd-48ed-8dd4-7d333cd8b241 · outbound

This paper cites Berger.Jacob’s Ladder of Differential Geometry.

Dehn Sommerville Manifolds Berger.Jacob’s Ladder of Differential Geometry

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:10.015365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8ccced6c-253e-4630-93a6-64d0a9725d16 · outbound

This paper cites Brenti and V.

Dehn Sommerville Manifolds Brenti and V

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:09.675202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f6da916d-c340-42cd-a9ed-cb9ab3919038 · outbound

This paper cites Chartrand, H.V.

Dehn Sommerville Manifolds Chartrand, H.V

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:09.325157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 89ab7c13-9a21-4c81-9646-93c7c16ba3fb · outbound

This paper cites an unresolved cited work.

Dehn Sommerville Manifolds Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-05T18:54:09.085034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0d79e619-22ac-4b8b-99bb-33e5bb4747c6 · outbound

This paper cites Dehn and P.

Dehn Sommerville Manifolds Dehn and P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:08.798776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9d7a4548-23df-4897-8d37-9a70deffe7a0 · outbound

This paper cites an unresolved cited work.

Dehn Sommerville Manifolds Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T18:54:08.542727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 79a51878-9b0e-433a-a5b1-043842f4c342 · outbound

This paper cites Gr¨ unbaum.

Dehn Sommerville Manifolds Gr¨ unbaum

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:08.215649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bc8337d9-5718-44a4-9e30-d17cd5fd0fb3 · outbound

This paper cites Gr¨ unbaum.

Dehn Sommerville Manifolds Gr¨ unbaum

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:07.993835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a9446bb8-8a3f-4a62-9ad8-deb9becee4ee · outbound

This paper cites Gr¨ unbaum.Convex Polytopes.

Dehn Sommerville Manifolds Gr¨ unbaum.Convex Polytopes

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:07.731877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 07422f67-0df2-489a-a14a-22a7ae4c870b · outbound

This paper cites an unresolved cited work.

Dehn Sommerville Manifolds Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-05T18:54:07.526443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 16572f57-0420-461e-8e22-4d23c0141407 · outbound

This paper cites an unresolved cited work.

Dehn Sommerville Manifolds Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T18:54:07.276066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 475b7b29-ea48-446b-9613-6973fb1b5579 · outbound

This paper cites an unresolved cited work.

Dehn Sommerville Manifolds Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-05T18:54:06.981153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ba8d0c56-72b7-4648-80df-eca00adce74d · outbound

This paper cites Klain and G-C.

Dehn Sommerville Manifolds Klain and G-C

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:06.692189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5bf71dff-bd96-462d-9183-f359585095eb · outbound

This paper cites an unresolved cited work.

Dehn Sommerville Manifolds Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T18:54:06.459351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 02ab1a7e-e939-428f-a882-8ba24e086673 · outbound

This paper cites A graph theoretical Gauss-Bonnet-Chern Theorem.

Dehn Sommerville Manifolds A graph theoretical Gauss-Bonnet-Chern Theorem

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-05T18:53:52.878301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a58e5f7d-4e4b-40cf-9968-a21b44f73917 · outbound

This paper cites A graph theoretical Poincare-Hopf Theorem.

Dehn Sommerville Manifolds A graph theoretical Poincare-Hopf Theorem

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-05T18:53:53.030446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 403a6348-b100-43d3-9bd2-2d0959b50556 · outbound

This paper cites An index formula for simple graphs.

Dehn Sommerville Manifolds An index formula for simple graphs

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:54:02.678964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 828db2c7-c33b-4c22-8025-dac76b486562 · outbound

This paper cites On index expectation and curvature for networks.

Dehn Sommerville Manifolds On index expectation and curvature for networks

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-05T18:53:53.299085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b362f49e-b7d1-4f47-b4cf-6123a9a52a20 · outbound

This paper cites A notion of graph homeomorphism.

Dehn Sommerville Manifolds A notion of graph homeomorphism

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:54:02.403988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6163e154-7674-4d61-b9c6-fdd0c4239b41 · outbound

This paper cites A Sard theorem for graph theory.

Dehn Sommerville Manifolds A Sard theorem for graph theory

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:54:02.134354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fba37f77-5248-4598-948c-ffec4ca81040 · outbound

This paper cites Gauss-Bonnet for multi-linear valuations.

Dehn Sommerville Manifolds Gauss-Bonnet for multi-linear valuations

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-05T18:53:53.718829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 264dc507-624b-4962-bb8a-6550d0af5a84 · outbound

This paper cites On Fredholm determinants in topology.

Dehn Sommerville Manifolds On Fredholm determinants in topology

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-05T18:53:53.907179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0987e2f7-3544-4bb3-96a8-965607899f54 · outbound

This paper cites The Cohomology for Wu Characteristics.

Dehn Sommerville Manifolds The Cohomology for Wu Characteristics

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:54:01.823653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2c9df404-2f2d-4565-9f67-56645e4e3065 · outbound

This paper cites Combinatorial manifolds are Hamiltonian.

Dehn Sommerville Manifolds Combinatorial manifolds are Hamiltonian

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:54:01.575669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 66458dee-31f7-4b29-96cd-18fd09c50add · outbound

This paper cites Dehn-Sommerville from Gauss-Bonnet.

Dehn Sommerville Manifolds Dehn-Sommerville from Gauss-Bonnet

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-05T18:53:54.350707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd4354c4-9657-4905-baf0-3074f38b9c1d · outbound

This paper cites Energized simplicial complexes.

Dehn Sommerville Manifolds Energized simplicial complexes

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:54:01.354128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ce9080d4-af56-4c70-b8a1-efc6c6552370 · outbound

This paper cites More on Poincare-Hopf and Gauss-Bonnet.

Dehn Sommerville Manifolds More on Poincare-Hopf and Gauss-Bonnet

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:54:01.111181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cb35c5e0-55f9-474c-a65c-3f20dd2938bc · outbound

This paper cites Poincare Hopf for vector fields on graphs.

Dehn Sommerville Manifolds Poincare Hopf for vector fields on graphs

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:54:00.832515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 06fcdea8-440b-4458-8b42-84482fabba7d · outbound

This paper cites Division algebra valued energized simplicial complexes.

Dehn Sommerville Manifolds Division algebra valued energized simplicial complexes

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:54:00.588692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 24246c90-0145-4f21-b4cc-44a0bc8550bb · outbound

This paper cites an unresolved cited work.

Dehn Sommerville Manifolds Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-05T18:54:06.206270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ad79cbab-055a-45a6-bec0-ec9e88cf9645 · outbound

This paper cites Green functions of Energized complexes.

Dehn Sommerville Manifolds Green functions of Energized complexes

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:54:00.336626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f5e2310e-5380-4d2d-8b1f-c0b35479a6e3 · outbound

This paper cites Characteristic Topological Invariants.

Dehn Sommerville Manifolds Characteristic Topological Invariants

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:54:00.092694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c965d88c-938d-4c62-ab02-78546d32b3df · outbound

This paper cites Discrete Algebraic sets in Discrete Manifolds.

Dehn Sommerville Manifolds Discrete Algebraic sets in Discrete Manifolds

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:53:59.800673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 942eaaa3-a742-4513-98f9-a9e0add70778 · outbound

This paper cites Finite topologies for finite geometries.

Dehn Sommerville Manifolds Finite topologies for finite geometries

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:53:59.498452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4693fe33-192d-4707-9f6e-31012bdbef49 · outbound

This paper cites The Sphere Formula.

Dehn Sommerville Manifolds The Sphere Formula

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:53:59.262457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 531aadae-c178-46ce-a7b6-74518b4e4ed3 · outbound

This paper cites an unresolved cited work.

Dehn Sommerville Manifolds Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-05T18:54:05.891401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 11eec8ed-9282-4c17-b643-44167a050d03 · outbound

This paper cites an unresolved cited work.

Dehn Sommerville Manifolds Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-05T18:54:05.638151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation dd933cf8-9731-4e8b-9740-460e0ed7374b · outbound

This paper cites Manifolds from Partitions.

Dehn Sommerville Manifolds Manifolds from Partitions

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:53:59.012592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3e88345a-ca3d-444e-84ce-1497a2d1a5a0 · outbound

This paper cites an unresolved cited work.

Dehn Sommerville Manifolds Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-05T18:54:05.372882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 12aacdc8-5a4e-4813-b672-3a1ddcfa62ed · outbound

This paper cites an unresolved cited work.

Dehn Sommerville Manifolds Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-05T18:54:05.165172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 796e6df5-c76c-492b-9249-535ace45e814 · outbound

This paper cites Cohomology of open sets, 2023.

Dehn Sommerville Manifolds Cohomology of open sets, 2023

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:04.983552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 24eba7dc-1aeb-4fef-aca4-561a72bf6217 · outbound

This paper cites Lakatos.Proofs and Refutations.

Dehn Sommerville Manifolds Lakatos.Proofs and Refutations

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:04.816484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e9f2782c-51de-4181-9142-3d8e6fdd7958 · outbound

This paper cites Pascal triangle, Stirling numbers and the unique invariance of the Euler characteristic.

Dehn Sommerville Manifolds Pascal triangle, Stirling numbers and the unique invariance of the Euler characteristic

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:53:58.762194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2a2f8c0f-a6a7-470c-9736-613c90c329e3 · outbound

This paper cites an unresolved cited work.

Dehn Sommerville Manifolds Unresolved cited work

Reference 49

Resolution: unresolved; raw_fallback, observed 2026-08-05T18:54:04.567972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 31edbae2-f9d9-4cae-a46c-80d24231a93a · outbound

This paper cites Mukherjee and S.

Dehn Sommerville Manifolds Mukherjee and S

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:04.377795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5298c7f1-91f3-4214-a1e9-efe901080102 · outbound

This paper cites Face numbers of manifolds with boundary.

Dehn Sommerville Manifolds Face numbers of manifolds with boundary

Reference 51

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:53:58.522362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 232903ce-a41c-42a3-9f5b-e66619a24347 · outbound

This paper cites Mycielski.

Dehn Sommerville Manifolds Mycielski

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:04.156065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4446c262-5373-485e-b85e-0b04943cb53d · outbound

This paper cites Novik and E.

Dehn Sommerville Manifolds Novik and E

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:03.902788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e07f4d62-90a9-4dc9-9af0-1422c8ffff4b · outbound

This paper cites Sommerville.

Dehn Sommerville Manifolds Sommerville

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:03.621451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6677f4a7-8b77-4fe6-83d8-1157fe6703ec · outbound

This paper cites Topological invariants of new type of finite polyhedrons.Acta Math.

Dehn Sommerville Manifolds Topological invariants of new type of finite polyhedrons.Acta Math

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:03.373137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b0a28d3b-a15c-4d13-b714-0e2a3c3159d1 · outbound

This paper cites Ziegler.Lectures on Polytopes.

Dehn Sommerville Manifolds Ziegler.Lectures on Polytopes

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:54:03.168874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7f369b92-25b4-4e96-9c2f-78eb2eab2e28 · outbound

This paper cites an unresolved cited work.

Dehn Sommerville Manifolds Unresolved cited work

Reference 57

Resolution: unresolved; raw_fallback, observed 2026-08-05T18:54:02.916366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation d347caed-c924-4879-9196-b4f73f8efc4e · inbound

Euler Characteristics of Random Manifolds cites this paper.

Euler Characteristics of Random Manifolds Dehn Sommerville Manifolds

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.279499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.