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Paper Citation Record · LEDGER

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

As of 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.594924Z digest=sha256:f2b522241f21fcbda9dacf2f1a8d56ef83576dc774c1c435a31c8b2e1618ac7e

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.600100Z digest=sha256:bdb354d892d78a78b592e9e271ca129769643faded1a59ee00e519c74253bdae

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.604894Z digest=sha256:9a8784a9f345eeebe595de186b2bb1dfafd862b2833cc4bb694f34000794f1f1

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.609332Z digest=sha256:1f4d7af7ba91d15c803289664b52278ffa64042268195ebdcdc6304ae466900e

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.614146Z digest=sha256:e1983ce907fe05ece49bce5e8daed36706c812ec152ec4f332185be8254cb26f

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.618810Z digest=sha256:691187a38f7c6b0cef9e2ccdde81511979101d1859e0080b6fd98164202eef20

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.628689Z digest=sha256:36968419c0c4d216ba26c1605e353ea5764896d9973d4f704947e02fab0c19c3

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.632737Z digest=sha256:89c21d57db121adc1833db10f49c7561e841d7c76cbe2479c3dd04dae33de1a9

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.637008Z digest=sha256:f56d75e03db3a384384b5a96829953b307135d11fee0ade863264e6407c2edfb

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.642181Z digest=sha256:57651974dac566ec31879487a8d40ed33802648905c02a9649723d4d73d4d051

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.646563Z digest=sha256:800c6e3e6a97d5e3132bfb2921c96728c9ed4d745c2ba19327d33efb28ffe35e

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.650959Z digest=sha256:fa22788a121742fb59eb948e3bee14e1258cbd077a35e70cb1fd7432e4cf0263

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.655336Z digest=sha256:e920818e5dd7889ea57729475a31bb4ce452946c8c6210eae8192b60d895c951

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.659538Z digest=sha256:ee0ef85dbb36b85b4ecf12c6634d4dd5c5c50757bd2e7d491bbf80824e18987b

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.664452Z digest=sha256:620dd79d973a7f745a4373861dfd42c9fd24b477e2ddf34236e1c68c37f86a88

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:11:52.669502Z digest=sha256:4c8757418ef8a1115ac7c606924e257214974c5ae2de8f4484334d6e6ca526cd

Pith citing papers

No inbound Pith citation observations are available.