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Paper Citation Record · LEDGER

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

As of 13 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 2026-08-13T06:32:02.005865+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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:55:58.841041Z digest=sha256:dd2d21ee08cf37939328e46ec4c4f39fc46a4531dc64302be1595bf91e408ddb

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T17:55:58.846469Z digest=sha256:65db72f30efcae5845ec7935b894caae58ffd171444ffe2e443d8a91c1ebcd26

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

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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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:55:58.856848Z digest=sha256:65dded1412917b22de90dc5204c45cfbd580b3f00e6524688a5468af13ced3ba

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

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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

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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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T17:55:58.872985Z digest=sha256:86bf98f44df5c7a221f08688113a126bb60e3f2acd9ba0c5bf985d72f3ebd61b

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T17:55:58.878214Z digest=sha256:7ca9915b08d4e6023ecd7160e7d5311884336f970cda1a08437c17da562f87c0

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

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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 2026-08-13T06:32:02.005865+00:00.

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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

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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.

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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

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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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T17:55:58.902784Z digest=sha256:67f652fb3f673845793dabe7e5a21324d2986734734df622395dd0f7bb04c076

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T17:55:58.907895Z digest=sha256:cbde8fadd5bde34f154aa51b9a7279e2de2a7808308169243051b684080b936b

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T17:55:58.912481Z digest=sha256:987e486f06e653b190db3a791cb01be2d60368bcfe4e9173f54f6d59c8a354e7

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T17:55:58.917448Z digest=sha256:aa6c8953bc005c348ce3e9b491f98401dc88da6e9c11bdfd322c5a89c0e08189

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 2026-08-13T06:32:02.005865+00:00.

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Pith citing papers

No inbound Pith citation observations are available.