Pith. sign in

Paper Citation Record · LEDGER

Arrangements of circles supported by small chords and compatible with natural real algebraic functions

As of 17 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2501.11819.

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

pith.paper-citation-record.v1
2501.11819 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:55:58.922380Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

18 of 18 outbound references displayed

  • verified exact2
  • verified fuzzy4
  • unresolved10
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 89350083-c20a-4337-b809-a8afcd0373e8 · outbound

This paper cites Bochnak, M.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Bochnak, M

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T17:55:58.835707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:55:58.835707Z digest=sha256:f9994d24efcfef3a824afe55c3707e7c5e6b49cc04cbeb15ab8ebdf44cc8cba3

Observation 9891528f-5567-436b-8125-5f5bc951f613 · outbound

This paper cites Poincar\'e-Reeb graphs of real algebraic domains.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Poincar\'e-Reeb graphs of real algebraic domains

Reference 2

Resolution
malformed identifier
no resolver link, observed 2026-08-10T17:55:58.841041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:55:58.841041Z digest=sha256:18550ee439914bdd4535c89630d197162ef88e041217243744661c7a5235d73c

Observation 39154caf-1c84-42c2-830a-170027d48c35 · outbound

This paper cites Arrangements of orthogonal circles with many intersections.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Arrangements of orthogonal circles with many intersections

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-10T17:55:59.126412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T17:55:58.846469Z digest=sha256:1761d0bbcf449f682d2a94ed25b4eea81e7107458613f12f07b55423946fac4b

Observation 4c8b2e11-f79e-41c7-9dcb-385469273871 · outbound

This paper cites Golubitsky and V.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Golubitsky and V

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-10T17:55:58.851750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:55:58.851750Z digest=sha256:58c962e29a2d0b4fbfd7137d95d770fe93144c9869d0c61f5420d8c259110b00

Observation edd16330-cb07-46bc-8299-5bd774652403 · outbound

This paper cites Real algebraic functions on closed manifolds whose Reeb spaces are given graphs.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Real algebraic functions on closed manifolds whose Reeb spaces are given graphs

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T17:55:58.856848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:55:58.856848Z digest=sha256:ca79faf46899b3171e428cf66fb8eac9156b743646d1f7c244dcae8cdb5353b5

Observation 3a76a2b9-a2d3-4394-8613-10dbb2240b95 · outbound

This paper cites an unresolved cited work.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-10T17:55:58.862387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:55:58.862387Z digest=sha256:166d40eb299e6bb710a2e9e6814c865eff3e4d4b2ee565d77820dfef6b8c32b2

Observation fd76c00b-e969-4b70-949d-16a743312ba0 · outbound

This paper cites an unresolved cited work.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-10T17:55:58.868173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:55:58.868173Z digest=sha256:52739fba9362955c3feb881830bb6ae2d14dec789bd268026dcb2ae287e019c1

Observation 26c408ac-0a0f-4493-9945-cbc91db7c59a · outbound

This paper cites Adjoints and Canonical Forms of Polypols.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Adjoints and Canonical Forms of Polypols

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-10T17:55:58.980711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T17:55:58.872985Z digest=sha256:7d7a553d20735e2c7417e6f72bee831ac9ab32b983a2bf3f041410163f7231c0

Observation 7bc4d6ec-5139-4d9f-b4e2-6dc22f525f57 · outbound

This paper cites Koll´ ar, Nash’s work in algebraic geometry , Bulletin (New Series) of the American Mathe- matical Society (2) 54, 2017, 307–324.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Koll´ ar, Nash’s work in algebraic geometry , Bulletin (New Series) of the American Mathe- matical Society (2) 54, 2017, 307–324

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:55:59.278528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T17:55:58.878214Z digest=sha256:849ef2f7e49724540f142a0b56c7cb4782d9ba222b51ef87737e8bf221df62fc

Observation d5c64bbe-19df-4b7b-b224-b9ac4dca29c8 · outbound

This paper cites an unresolved cited work.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:55:59.261863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T17:55:58.883089Z digest=sha256:1c2fb34f0ef371af274071b066b6897ae3446931ee381b7eae9647b4212689c5

Observation 1213f682-2dbb-4d48-a78e-93571236ee8b · outbound

This paper cites an unresolved cited work.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T17:55:58.887699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:55:58.887699Z digest=sha256:3d62209cc4cedeb0c064de62daf38a61c5e89a1ac08f8e2bd087ff8ebe02f5f7

Observation cc8fa831-daba-40b2-85de-0b3516416e07 · outbound

This paper cites Saeki, Reeb spaces of smooth functions on manifolds II , Res.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Saeki, Reeb spaces of smooth functions on manifolds II , Res

Reference 12

Resolution
malformed identifier
no resolver link, observed 2026-08-10T17:55:58.892637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:55:58.892637Z digest=sha256:b58c7ea521091b28483ccafde1f1b17508e11ef848621182019b0875bc09f8e2

Observation dacd41fc-f391-4577-9bf7-6299e4ac7c2b · outbound

This paper cites Sharko, About Kronrod-Reeb graph of a function on a manifold , Methods of Functional Analysis and Topology 12 (2006), 389–396.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Sharko, About Kronrod-Reeb graph of a function on a manifold , Methods of Functional Analysis and Topology 12 (2006), 389–396

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-10T17:55:58.897784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:55:58.897784Z digest=sha256:d43ca62099ffd72857170e25c35243bdb68dbcacc43b0f358e38338457a09220

Observation e77e1f12-6924-4d84-8a3d-6f09660a1bf4 · outbound

This paper cites an unresolved cited work.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:55:59.224312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T17:55:58.902784Z digest=sha256:d7dd803cf248d5bd58632cbfd739001c97b06e9a9c68197e50bdc7199b920967

Observation 2069de05-ed02-4891-8b59-54014a6fbb35 · outbound

This paper cites an unresolved cited work.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:55:59.208245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T17:55:58.907895Z digest=sha256:300a5aa7661969b68dcb85160da44546674c20d2f2af4d26e0cede5c3a9c5d7c

Observation 3f0a378a-5e37-4988-bd44-3ea25a9edad0 · outbound

This paper cites Tamaki, Algebraic Topology A Guide to literature, http://pantodon.jp/index.rb?body=about, 2023.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Tamaki, Algebraic Topology A Guide to literature, http://pantodon.jp/index.rb?body=about, 2023

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:55:59.191076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T17:55:58.912481Z digest=sha256:a79270e53f150acc1ee7c948e28d78df4d4c2aaf5a8b4b636c05bd3583fc185a

Observation b13325f6-810e-4119-9b79-c70cc5cb50e1 · outbound

This paper cites Tamaki, Algebraic Topology A Guide to literature (Su bmanifold arrangement), http://pantodon.jp/index.rb?body=submanifold arrangement, 2023.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Tamaki, Algebraic Topology A Guide to literature (Su bmanifold arrangement), http://pantodon.jp/index.rb?body=submanifold arrangement, 2023

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:55:59.174882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T17:55:58.917448Z digest=sha256:4d59672cf5c98ba613e79b5e98bc0e4fbf3ca6ae9da68f2ff03806151978874f

Observation 9bccbd67-4b1f-4222-834a-fc4b8d3c9afd · outbound

This paper cites Tamaki, Algebraic Topology A Guide to literature (Ar rangement variations), http://pantodon.jp/index.rb?body=arrangement variations, 2023.

Arrangements of circles supported by small chords and compatible with natural real algebraic functions Tamaki, Algebraic Topology A Guide to literature (Ar rangement variations), http://pantodon.jp/index.rb?body=arrangement variations, 2023

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:55:59.158495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T17:55:58.922380Z digest=sha256:fcfc5383d80aaf2a87ba10d8b2582b98ed217f365324f3e3b7489567cf2e381e

Pith citing papers

No inbound Pith citation observations are available.