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Paper Citation Record · LEDGER

Induced equators in flag spheres

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.08727.

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

pith.paper-citation-record.v1
1908.08727 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:47:39.067360Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy15
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0b5a4783-45bf-4d26-ba00-46ab54bd14b4 · outbound

This paper cites Upper bound theorem for odd-dimensional flag triangulations of manifolds.

Induced equators in flag spheres Upper bound theorem for odd-dimensional flag triangulations of manifolds

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.394926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:38.975698Z digest=sha256:d544e09914c968827cdab62ce4e5cf575376f8f4dc05ffb8bf359e9ccc1282d0

Observation 60e8e4d6-fadc-41de-a04b-fa531f545eb6 · outbound

This paper cites Combinatorial Lefschetz theorems beyond positivity.

Induced equators in flag spheres Combinatorial Lefschetz theorems beyond positivity

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T11:47:38.980875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:47:38.980875Z digest=sha256:ba83746543494913e272ad8dc8edb3b4bd5f16d76915e77bdb01243ddd0b8d09

Observation ca85774e-7e97-4c24-90f5-ec5a50a39d37 · outbound

This paper cites gamma-vectors of edge subdivisions of the boundary of the cross polytope.

Induced equators in flag spheres gamma-vectors of edge subdivisions of the boundary of the cross polytope

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:47:39.126806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:38.985773Z digest=sha256:484cf75956b23bf01d8acbbc4747d719a9d0876437950731169cf73257260246

Observation 701ffe8e-372c-4ece-877f-f737fb9af775 · outbound

This paper cites Athanasiadis.

Induced equators in flag spheres Athanasiadis

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.380968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:38.990343Z digest=sha256:83266c575b7021f245fa609103839b0abff275482aadc73c597571d74fa4b6cf

Observation 96ff0c58-32a5-4a4b-8829-f1c81027a189 · outbound

This paper cites The Euler characteristic of a no npositively curved, piecewise Eu- clidean manifold.

Induced equators in flag spheres The Euler characteristic of a no npositively curved, piecewise Eu- clidean manifold

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.368287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:38.994944Z digest=sha256:402db1447ab36f5fd7f566f9c97a0fa8f500c9c65881af3d29831cfb16dd32fa

Observation 4dd4ed9b-709f-4596-b0f4-5e27c55126c2 · outbound

This paper cites an unresolved cited work.

Induced equators in flag spheres Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:47:39.355399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:38.999367Z digest=sha256:0bab6a389db89a765239683c1417730c59da80e2c0d330eff2f17bb8008e86f1

Observation 7be329bd-a00a-4552-bdee-52d0ce1f5e78 · outbound

This paper cites Springer-Verlag, New York, second edition, 2003.

Induced equators in flag spheres Springer-Verlag, New York, second edition, 2003

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.342405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:39.004081Z digest=sha256:54149a42895aa8ef09134ffb6b2398dfc7e4fc6039ec4475fdce1cf55964436e

Observation cb11467f-2dce-4464-8c19-82fead1d061b · outbound

This paper cites Face enumeration on simplicial comp lexes.

Induced equators in flag spheres Face enumeration on simplicial comp lexes

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.328951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:39.008203Z digest=sha256:03130144d722bf12674930edb1a5c026c1a084d9a558879fffbfb68a0930f4dd

Observation 7fb0a166-bc4c-40a0-92fa-142dfb032ece · outbound

This paper cites Bounds for entries ofγ-vectors of flag homology spheres.

Induced equators in flag spheres Bounds for entries ofγ-vectors of flag homology spheres

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.315583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:39.012426Z digest=sha256:0bb93cbb568db857a2290689d92606c8e0bfe0c0b1eb7ff7480b9bd5b176cd3c

Observation c69cab64-8efa-4366-9951-3d98813f14a5 · outbound

This paper cites Lutz and Eran Nevo.

Induced equators in flag spheres Lutz and Eran Nevo

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.301072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:39.016617Z digest=sha256:9daa1e52259a24aac03d06045dfc6bcee4fbd6d5034c020d8ac4705b8ee90ed8

Observation 2a839fd5-c369-4c8b-8e73-b0648f6ff919 · outbound

This paper cites McMullen.

Induced equators in flag spheres McMullen

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.286601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:39.020725Z digest=sha256:c5f47a0976ecb4e6079257c53a97485e125a0dd34394da67d5c1ed2ecb7a0bd3

Observation 822eada4-8649-4dd3-b509-0a62d03c4965 · outbound

This paper cites Domination numbers and homology.

Induced equators in flag spheres Domination numbers and homology

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.272932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:39.024914Z digest=sha256:b496f79662685a5821c9918c77e05364da4dc6a2de7447ad5cf3fa485ac6a999

Observation 6830c02e-ab59-42b2-b266-efcf0bb56024 · outbound

This paper cites Kyle Petersen.

Induced equators in flag spheres Kyle Petersen

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.258901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:39.029201Z digest=sha256:22c1a3e3eab3609f45ce26e84f3d42e339d18482cdd6ea7b66cfdc29f109c16c

Observation 85ad40bc-b3d8-46f9-b205-eebdfd7b09e1 · outbound

This paper cites Scheinerman and Daniel H.

Induced equators in flag spheres Scheinerman and Daniel H

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.245818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:39.033223Z digest=sha256:7608b9ce83e9896198489e00bb480bf0c0410a72edd81acec712cd3543bf1364

Observation 219e5143-86f2-411b-96f1-bd7d560978aa · outbound

This paper cites an unresolved cited work.

Induced equators in flag spheres Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:47:39.232770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:39.037430Z digest=sha256:474668fd003217059ce3042ac2c90eaf00d194028f4a5af0c5da91e754475f90

Observation 2ace2372-5c01-412d-82f1-d6761af3fcd3 · outbound

This paper cites an unresolved cited work.

Induced equators in flag spheres Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-14T11:47:39.041551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:47:39.041551Z digest=sha256:4529ecbb3fd51b215f9049424c9323b1cccf12eb81e7e44409c8dce26ed334a6

Observation 4b6e1ea6-33ce-4f50-a90b-fca390206149 · outbound

This paper cites g-elements, finite buildings and higher Cohen-Macaulay connectivity.

Induced equators in flag spheres g-elements, finite buildings and higher Cohen-Macaulay connectivity

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.209618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:39.045725Z digest=sha256:b0733037e962641e86955845f653248002f6291147279985b166c83084229693

Observation 70cb869f-ce9e-4603-bd4e-dfde70e28054 · outbound

This paper cites an unresolved cited work.

Induced equators in flag spheres Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:47:39.195805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:39.049605Z digest=sha256:4a6d90998f105310ed7005093d218c708ada85a99599e659332d8bab2b3e7a50

Observation 716444f5-2401-4e2c-bc62-d9721ff50c81 · outbound

This paper cites Vertex splitting in isostatic frameworks.

Induced equators in flag spheres Vertex splitting in isostatic frameworks

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.182332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:39.054454Z digest=sha256:b85c85b9284f473d6a3b983f6d1ffab1230fcc8ef4cdbaed9003e7d52db27b13

Observation 603ec186-f935-4ce8-8c10-645a25c71327 · outbound

This paper cites The flag upper bound theorem for 3- and 5-manifo lds.

Induced equators in flag spheres The flag upper bound theorem for 3- and 5-manifo lds

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.168621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:39.058478Z digest=sha256:742d991ecba8c84fcb918d576d6b7da0542252f1b8c9fef118c1a4c61830646b

Observation 3c804567-0fd7-4471-a485-58f8705f6457 · outbound

This paper cites Face enumeration on flag complexes and flag spheres.

Induced equators in flag spheres Face enumeration on flag complexes and flag spheres

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:47:39.106602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:39.062950Z digest=sha256:f8e4fa900b09de0f1b6c4b6703ad1f3bdd9ee1593396319ad7aa7c0b1cd6d90b

Observation 7807d2b0-717d-4fa0-a5b2-27d8077b2c6e · outbound

This paper cites Ziegler.Lectures on polytopes , volume 152 of Graduate Texts in Mathematics.

Induced equators in flag spheres Ziegler.Lectures on polytopes , volume 152 of Graduate Texts in Mathematics

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:47:39.154797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:47:39.067360Z digest=sha256:b3709b0358c888c4689d619b0bfab54f3b442b17be634ec5aee7b799f10afd90

Pith citing papers

No inbound Pith citation observations are available.