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Paper Citation Record · LEDGER

Equation Embeddings

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:1803.09123.

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

pith.paper-citation-record.v1
1803.09123 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:50:47.511146Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-16T13:27:55.685210Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 556b53d5-cc3b-4c12-aa3b-fe0bb4fea3ea · inbound

E-Gen: Leveraging E-Graphs to Improve Continuous Representations of Symbolic Expressions cites this paper.

E-Gen: Leveraging E-Graphs to Improve Continuous Representations of Symbolic Expressions Equation Embeddings

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-10T14:50:47.511146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T14:50:47.511146Z digest=sha256:6a13a1c9845210c0507ea14f75fd1935e55ebd39598384d0d10df6dbaa7dbd28

Observation 5c0834c4-b895-4f2a-ba32-c26ee6c6f8fb · inbound

Exponential Family Attention cites this paper.

Exponential Family Attention Equation Embeddings

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-10T10:46:25.717097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T10:46:25.717097Z digest=sha256:6597f70f8f815de2ddfe36d61f5dd3a22f4ab09a5496712f2cfb206ff56eb71b

Observation c3a145ca-aecb-489a-b137-837cdab8e88b · inbound

SSEmb: A Joint Structural and Semantic Embedding Framework for Mathematical Formula Retrieval cites this paper.

SSEmb: A Joint Structural and Semantic Embedding Framework for Mathematical Formula Retrieval Equation Embeddings

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-06T00:55:31.921016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T00:55:31.921016Z digest=sha256:e7ce43a682b22a2b420c3a153601645be317b0348ba9de5a4e9189e85c38764b

Observation 9531b46a-ebc7-43a2-91d3-8db52ef6534c · inbound

AI for Mathematics: Progress, Challenges, and Prospects cites this paper.

AI for Mathematics: Progress, Challenges, and Prospects Equation Embeddings

Reference 87

Resolution
verified exact
local_arxiv, observed 2026-05-16T13:27:55.687193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-16T13:24:57.923863Z digest=sha256:25ae747b37c2b53b3b8a51c2cd53bf83e0b78212dc334cf842d9ee64f4a66df7

Observation 09cf3213-cfab-41ec-ac1d-c09de6204492 · inbound

Syntax Meets Semantics: Understanding Scientific Formulae cites this paper.

Syntax Meets Semantics: Understanding Scientific Formulae Equation Embeddings

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-04T06:59:20.175968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T06:59:20.175968Z digest=sha256:c39750a9dc5dbeafd7e319030625f1543e01e8b06f617c7d5d37757b6f248ef8