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Paper Citation Record · LEDGER

A lower bound on critical points of the electric potential of a knot

As of 17 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1908.01942.

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

pith.paper-citation-record.v1
1908.01942 v6

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:11:52.669502Z

measured 17 of 17 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

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cbbe3bff-fa61-41e3-83fb-1e9e8254e0a9 · outbound

This paper cites an unresolved cited work.

A lower bound on critical points of the electric potential of a knot Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:11:52.938779Z

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=arxiv_source observed=2026-08-14T15:11:52.594924Z digest=sha256:2ba8eff38660ab32e7da7dc5a6dfd2473833495cf770280e29952d8a5c90d981

Observation 29789d79-8274-42e5-90f4-d1ae776b8d85 · outbound

This paper cites Burde and H.

A lower bound on critical points of the electric potential of a knot Burde and H

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:52.924800Z

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=arxiv_source observed=2026-08-14T15:11:52.600100Z digest=sha256:482a6a7caf8ef44198c3f2b733f4030f3cf87378cc88882865a86220ce678329

Observation eee7bbf8-f3da-454b-a2cd-7573dc8c7dcc · outbound

This paper cites Clark, The Heegaard genus of manifolds obtained by surgery on links and knots.

A lower bound on critical points of the electric potential of a knot Clark, The Heegaard genus of manifolds obtained by surgery on links and knots

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:52.910870Z

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=arxiv_source observed=2026-08-14T15:11:52.604894Z digest=sha256:db4cf6d4c581ab2aa20afdec73c710885862285215b634f576ee6de731c6f3de

Observation c4b9208c-f426-40e2-84c5-ba4bf60d4d7c · outbound

This paper cites Milnor, Morse Theory.

A lower bound on critical points of the electric potential of a knot Milnor, Morse Theory

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:52.896517Z

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=arxiv_source observed=2026-08-14T15:11:52.609332Z digest=sha256:d38b77b00c623cd4bc82c7d8af882c0bb7b9b31b3c09c0dc4b6c897d94483db1

Observation c997ba34-4114-4708-a2e3-3795588dbe66 · outbound

This paper cites Nicolaescu, An Invitation to Morse Theory.

A lower bound on critical points of the electric potential of a knot Nicolaescu, An Invitation to Morse Theory

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:52.881745Z

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=arxiv_source observed=2026-08-14T15:11:52.614146Z digest=sha256:7abf62c98c5f80e9df1215dee912a635db0740f1c02584cc4c98802aa99e4115

Observation b5ac363d-870d-4f27-953c-298d5966c5f3 · outbound

This paper cites Rolfsen, Knots and Links.

A lower bound on critical points of the electric potential of a knot Rolfsen, Knots and Links

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:52.868125Z

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=arxiv_source observed=2026-08-14T15:11:52.618810Z digest=sha256:c839209af5f749a04246061b711e1c6a17a2d1d39537a49a7128cb3261b82c70

Observation c09e6f7c-9a32-4e4f-83f0-cdb7a4276248 · outbound

This paper cites Heegaard splittings of compact 3-manifolds.

A lower bound on critical points of the electric potential of a knot Heegaard splittings of compact 3-manifolds

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T15:11:52.623680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:11:52.623680Z digest=sha256:0fffd96e3c565017e0ad53205b3d7e1ecfcdcdf851fcca51c5878a35b2ef47d9

Observation 9a6f7c42-8eb8-4aaf-9aee-beddbf5706fc · outbound

This paper cites Schleimer, Waldhausen's Theorem.

A lower bound on critical points of the electric potential of a knot Schleimer, Waldhausen's Theorem

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:52.854352Z

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=arxiv_source observed=2026-08-14T15:11:52.628689Z digest=sha256:f3f7770c2e43c82e0c962d2fa5bae1e17f871ce1513949ee666f518f1ef3a1b3

Observation 0b8f7bce-9175-4ab2-b395-8d85a96c26af · outbound

This paper cites Stein and R.

A lower bound on critical points of the electric potential of a knot Stein and R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:52.840411Z

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=arxiv_source observed=2026-08-14T15:11:52.632737Z digest=sha256:e601fd0708b83f8e857eedc873fc1db51a72a75516de9fed0d3808b754e85f32

Observation 25cc3c0a-9326-4f2b-a47f-ef4d0720d816 · outbound

This paper cites write newline.

A lower bound on critical points of the electric potential of a knot write newline

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:52.826794Z

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=arxiv_source observed=2026-08-14T15:11:52.637008Z digest=sha256:7e00a107ff109759b703f38fdb34839b79165d14b281ae6e8c2c054b50258fae

Observation f6d66cf6-dd80-4132-b711-01b2085036d5 · outbound

This paper cites Lorentz and D.

A lower bound on critical points of the electric potential of a knot Lorentz and D

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:52.811616Z

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=arxiv_source observed=2026-08-14T15:11:52.642181Z digest=sha256:ce5ecb8301f916c6e34db0c12c2b73e53d69d96ba4d8c4fe7d798fd213500773

Observation 2ae53d41-6a19-4fa1-bcfe-dcc853d3dfd6 · outbound

This paper cites an unresolved cited work.

A lower bound on critical points of the electric potential of a knot Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:11:52.796806Z

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=arxiv_source observed=2026-08-14T15:11:52.646563Z digest=sha256:82ee2caea02994cf7917c73b1b9691e2b7ccc5f678f289be7122bc961f9a4abe

Observation 0ffa8427-e758-4193-b882-4ca0fbaa633c · outbound

This paper cites an unresolved cited work.

A lower bound on critical points of the electric potential of a knot Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:11:52.781094Z

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=arxiv_source observed=2026-08-14T15:11:52.650959Z digest=sha256:3cdeb7696e61aaa599d9874a52d41e047686f642d26e7b298bc64e34589c63f4

Observation d981ee54-9821-40aa-bdd9-6c46c5c9b4b2 · outbound

This paper cites Joliat, A simple technique for partial elimination of unit productions from LR(k) parsers, IEEE Trans.

A lower bound on critical points of the electric potential of a knot Joliat, A simple technique for partial elimination of unit productions from LR(k) parsers, IEEE Trans

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:52.765923Z

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=arxiv_source observed=2026-08-14T15:11:52.655336Z digest=sha256:45735523fbc67b1a9cedc0877014099adfe9fd4c3ccf039210782ccd1368c75c

Observation 8c135791-3421-4a3d-9fd7-98395261b466 · outbound

This paper cites Dolve, Unanimity in an unknown and unreliable environment, in Proc.

A lower bound on critical points of the electric potential of a knot Dolve, Unanimity in an unknown and unreliable environment, in Proc

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:52.751027Z

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=arxiv_source observed=2026-08-14T15:11:52.659538Z digest=sha256:93f46f38469d4ed286d04af931feb8d1a410e546305c4fbe1706cdf0c7921ac8

Observation 0e80a087-9e11-4b96-829d-d27b3e9bf7ab · outbound

This paper cites Tamassia, C.

A lower bound on critical points of the electric potential of a knot Tamassia, C

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:11:52.735889Z

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=arxiv_source observed=2026-08-14T15:11:52.664452Z digest=sha256:09bc727df659db166ab004f2f897c3fb8edcba660d801a167bc69c319666e536

Observation 19cc980b-5b61-4f98-8407-719334b33984 · outbound

This paper cites an unresolved cited work.

A lower bound on critical points of the electric potential of a knot Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:11:52.720853Z

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=arxiv_source observed=2026-08-14T15:11:52.669502Z digest=sha256:309c25bf85a7e80e23d303e22bf7c96c643716429990db23aea3a4ae1321c33c

Pith citing papers

No inbound Pith citation observations are available.