Paper Citation Record · LEDGER

Euler Characteristics of Random Manifolds

As of 8 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2607.24322.

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

pith.paper-citation-record.v1
2607.24322 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T18:23:20.303222Z

measured 41 of 41 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

41 of 41 outbound references displayed

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External citation measurements

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Outbound references

Observation bf89d0a1-3fd5-4f0a-a48f-ee8621085025 · outbound

This paper cites Alexandroff.

Euler Characteristics of Random Manifolds Alexandroff

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.170998Z

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Observation 67f03afd-a8dd-4d61-aaaf-ed134e622c48 · outbound

This paper cites an unresolved cited work.

Euler Characteristics of Random Manifolds Unresolved cited work

Reference 2

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Observation 9adada2d-1c0f-4ca2-97ff-3f88494c48bb · outbound

This paper cites B¨ urgisser.

Euler Characteristics of Random Manifolds B¨ urgisser

Reference 3

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Observation a659991a-0b7b-42a5-9ac8-9590f3577f44 · outbound

This paper cites Eberhard.Morphologie der Polyeder.

Euler Characteristics of Random Manifolds Eberhard.Morphologie der Polyeder

Reference 4

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Observation f88e6488-6883-43cb-8e3b-e6cc3cdfd714 · outbound

This paper cites an unresolved cited work.

Euler Characteristics of Random Manifolds Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.185928Z

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Observation c4e370a7-febf-4abf-9e4d-9d01cdc6c3b0 · outbound

This paper cites Gr¨ unbaum.

Euler Characteristics of Random Manifolds Gr¨ unbaum

Reference 6

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Observation ac9313ac-96bb-4d4b-b1b4-331c5d7b1072 · outbound

This paper cites Klain and G-C.

Euler Characteristics of Random Manifolds Klain and G-C

Reference 7

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Observation 359db8c7-5706-4ddf-af36-c8245513cd5e · outbound

This paper cites On the Dimension and Euler characteristic of random graphs.

Euler Characteristics of Random Manifolds On the Dimension and Euler characteristic of random graphs

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.196185Z

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Observation 16b2434a-2d96-4b46-b2ab-9e189f2535e1 · outbound

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

Euler Characteristics of Random Manifolds A graph theoretical Gauss-Bonnet-Chern Theorem

Reference 9

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Observation 497b3cb2-8670-46ed-885d-da38c841a63e · outbound

This paper cites an unresolved cited work.

Euler Characteristics of Random Manifolds Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.203891Z

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Observation ffc206e9-363f-4668-b6d2-6913fec7c5e3 · outbound

This paper cites A graph theoretical Poincare-Hopf Theorem.

Euler Characteristics of Random Manifolds A graph theoretical Poincare-Hopf Theorem

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.206655Z

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Observation 09a10649-1aab-44a9-89fb-b19e769b58d2 · outbound

This paper cites An index formula for simple graphs.

Euler Characteristics of Random Manifolds An index formula for simple graphs

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.210260Z

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Observation b71df84d-c662-4f64-9f1f-adc367d4d0ba · outbound

This paper cites On index expectation and curvature for networks.

Euler Characteristics of Random Manifolds On index expectation and curvature for networks

Reference 13

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Observation 367ff416-5384-430c-bf73-c349e0d4bae3 · outbound

This paper cites The Euler characteristic of an even-dimensional graph.

Euler Characteristics of Random Manifolds The Euler characteristic of an even-dimensional graph

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.217063Z

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Observation e8f50b02-af16-4338-9d4c-b62f191dd595 · outbound

This paper cites A notion of graph homeomorphism.

Euler Characteristics of Random Manifolds A notion of graph homeomorphism

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.220223Z

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Observation 581484b6-8218-4f8a-8b38-0e0b0a0fe892 · outbound

This paper cites A Sard theorem for graph theory.

Euler Characteristics of Random Manifolds A Sard theorem for graph theory

Reference 16

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Observation a0f0397f-1a66-4035-b135-ee8e4478ce31 · outbound

This paper cites On Fredholm determinants in topology.

Euler Characteristics of Random Manifolds On Fredholm determinants in topology

Reference 17

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Observation 590ea9e7-d541-4a07-be31-e8833d421021 · outbound

This paper cites Constant index expectation curvature for graphs or Riemannian manifolds.

Euler Characteristics of Random Manifolds Constant index expectation curvature for graphs or Riemannian manifolds

Reference 18

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Observation 68cfce6a-c74c-4039-8daf-69f1ad1aa766 · outbound

This paper cites The counting matrix of a simplicial complex.

Euler Characteristics of Random Manifolds The counting matrix of a simplicial complex

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.232991Z

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Observation 422c2c22-1e8d-4452-a2ae-465ec19db66c · outbound

This paper cites Dehn-Sommerville from Gauss-Bonnet.

Euler Characteristics of Random Manifolds Dehn-Sommerville from Gauss-Bonnet

Reference 20

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Observation 5203dbd3-abe2-426b-bdf6-bb0b82cd6d44 · outbound

This paper cites Energized simplicial complexes.

Euler Characteristics of Random Manifolds Energized simplicial complexes

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.239544Z

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Observation 39dd437b-a3e4-454e-8b07-ae1fc9f08bad · outbound

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

Euler Characteristics of Random Manifolds More on Poincare-Hopf and Gauss-Bonnet

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.242598Z

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Observation dca890dc-484d-4c5e-b848-08ebb0ba8b78 · outbound

This paper cites A parametrized Poincare-Hopf Theorem and Clique Cardinalities of graphs.

Euler Characteristics of Random Manifolds A parametrized Poincare-Hopf Theorem and Clique Cardinalities of graphs

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.245791Z

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Observation 1b619fbd-629d-43ba-9211-eaaaee2616f2 · outbound

This paper cites Poincare Hopf for vector fields on graphs.

Euler Characteristics of Random Manifolds Poincare Hopf for vector fields on graphs

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.248890Z

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Observation 6e9e52cf-14ad-4d61-bebb-d89ace2e4b3b · outbound

This paper cites Division algebra valued energized simplicial complexes.

Euler Characteristics of Random Manifolds Division algebra valued energized simplicial complexes

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.251886Z

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Observation 2c3a5c76-43e9-4afd-bfa5-8be1e6f36007 · outbound

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Euler Characteristics of Random Manifolds Unresolved cited work

Reference 26

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Observation 6ff56874-7277-4a8f-b831-be6d1abb8009 · outbound

This paper cites Green functions of Energized complexes.

Euler Characteristics of Random Manifolds Green functions of Energized complexes

Reference 28

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Observation 3b6af5be-dc63-4b29-bb59-375a45fcf811 · outbound

This paper cites Integral geometric Hopf conjectures.

Euler Characteristics of Random Manifolds Integral geometric Hopf conjectures

Reference 29

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Observation fdea24e6-7ad8-4888-be80-37e1eb920a32 · outbound

This paper cites On index expectation curvature for manifolds.

Euler Characteristics of Random Manifolds On index expectation curvature for manifolds

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.267549Z

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Observation 4f76dc14-7b46-4b50-9334-71a5e08ff647 · outbound

This paper cites The Curvature of Graph Products.

Euler Characteristics of Random Manifolds The Curvature of Graph Products

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-31T18:23:20.270432Z

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Observation f47c7134-e65e-4838-8613-b511dda10c8c · outbound

This paper cites Finite topologies for finite geometries.

Euler Characteristics of Random Manifolds Finite topologies for finite geometries

Reference 32

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Observation b9321df5-5eea-4774-99d7-e2777bca78e2 · outbound

This paper cites Manifolds from Partitions.

Euler Characteristics of Random Manifolds Manifolds from Partitions

Reference 33

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

This paper cites Dehn Sommerville Manifolds.

Euler Characteristics of Random Manifolds Dehn Sommerville Manifolds

Reference 34

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Observation 04a883f8-e161-465a-b7ab-03988b50c2d3 · outbound

This paper cites Lakatos.Proofs and Refutations.

Euler Characteristics of Random Manifolds Lakatos.Proofs and Refutations

Reference 35

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Observation 627dec2e-db1d-4e1e-888d-8080dc746f50 · outbound

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Euler Characteristics of Random Manifolds Unresolved cited work

Reference 36

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Observation f4882d8e-80c1-4511-b142-6b4557b40921 · outbound

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Euler Characteristics of Random Manifolds Unresolved cited work

Reference 37

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Observation 3d167b11-fec9-485f-a890-30be3803ef17 · outbound

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Euler Characteristics of Random Manifolds Unresolved cited work

Reference 38

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Observation 20764073-5e3f-48d1-a46a-6c7f39db5373 · outbound

This paper cites Santalo.Introduction to integral geometry.

Euler Characteristics of Random Manifolds Santalo.Introduction to integral geometry

Reference 39

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Observation 5085a1fb-b67a-41fd-a37d-7178d023f62f · outbound

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Euler Characteristics of Random Manifolds Unresolved cited work

Reference 40

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Observation 3058875c-f555-4a41-ac04-6715531e55d3 · outbound

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Euler Characteristics of Random Manifolds Unresolved cited work

Reference 41

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Observation 3f8caebd-a133-4c0b-ba19-439b949bdcfc · outbound

This paper cites Westover.

Euler Characteristics of Random Manifolds Westover

Reference 42

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