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Paper Citation Record · LEDGER

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces

As of 18 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2607.00005.

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

pith.paper-citation-record.v1
2607.00005 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-05T15:26:03.858776Z

measured 16 of 16 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

16 of 16 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6f832fb8-04f8-41a4-8816-ee321fe36a58 · outbound

This paper cites nearest neighbor.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces nearest neighbor

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:31:16.494192Z

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.

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Observation aaf665fc-fd21-49d1-9212-2cb63f5defe8 · outbound

This paper cites Translating embeddings for modeling multi-relational data.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces Translating embeddings for modeling multi-relational data

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:31:16.484157Z

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=2026-07-05T15:26:03.858776Z digest=sha256:ee00534b415b9e1875c81347b7f3bb45f2530524f208d0b31b86f036b8529a31

Observation 0deeb7e4-34c3-4abd-b42c-845ae6f1f186 · outbound

This paper cites The use of MMR, diversity-based reranking for reordering documents and producing sum- maries.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces The use of MMR, diversity-based reranking for reordering documents and producing sum- maries

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:31:16.507079Z

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=2026-07-05T15:26:03.858776Z digest=sha256:efae78c75b278c464b95716d69b75913594bdd040ceea2242a3ce38db8365478

Observation dd8ab915-db16-4c5f-92b0-98251fd74fa0 · outbound

This paper cites BGE M3-Embedding: Multi-Lingual, Multi- Functionality, Multi-Granularity Text Em- beddings Through Self-Knowledge Distilla- tion.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces BGE M3-Embedding: Multi-Lingual, Multi- Functionality, Multi-Granularity Text Em- beddings Through Self-Knowledge Distilla- tion

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:31:16.510508Z

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=2026-07-05T15:26:03.858776Z digest=sha256:461b73bc0fdcf882f9c1d259baf38d6fe9f9922f99aff2470d0b3138f78bedc3

Observation 5638e758-f1f3-4eab-b0a4-49efe107ad47 · outbound

This paper cites Evaluating Large Language Models Trained on Code.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces Evaluating Large Language Models Trained on Code

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-07-05T15:31:16.463811Z

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=2026-07-05T15:26:03.858776Z digest=sha256:056d580d8e9b2baa9ab165b2285621b523d83d12fcf46990602a5ef1871d1cec

Observation 7e9a457e-2b48-42e5-81c5-3d03ae97bb92 · outbound

This paper cites Topological persistence and simplification.Discrete & Computa- tional Geometry, 28:511–533, 2002.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces Topological persistence and simplification.Discrete & Computa- tional Geometry, 28:511–533, 2002

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:31:16.497454Z

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=2026-07-05T15:26:03.858776Z digest=sha256:f9405931c4e737fbfa309d6e494bd6cb082dc7934e934911dd8f347f5ba4a87b

Observation d06e4ca9-d90e-497b-b6d3-2c2ca14ff724 · outbound

This paper cites How contextual are con- textualized word representations? Compar- ing the geometry of BERT, ELMo, and GPT- 2 embeddings.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces How contextual are con- textualized word representations? Compar- ing the geometry of BERT, ELMo, and GPT- 2 embeddings

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:31:16.472768Z

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=2026-07-05T15:26:03.858776Z digest=sha256:bdce8bcdcc3d588105f17301664501eed58683aa363e00a8e9501461768ad865

Observation bdb9a2c3-4679-4473-8a74-bda74e7563b6 · outbound

This paper cites The platonic repre- sentation hypothesis.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces The platonic repre- sentation hypothesis

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:31:16.500917Z

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=2026-07-05T15:26:03.858776Z digest=sha256:42e11068429dbc789a5ce0b9a236fa77bdcb259de07442c66ac0a59b02f56e1c

Observation a354345a-60d7-42d6-9ece-fc4148dc9f59 · outbound

This paper cites Billion-scale similarity search with GPUs.IEEE Transactions on Big Data, 7(3):535–547, 2021.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces Billion-scale similarity search with GPUs.IEEE Transactions on Big Data, 7(3):535–547, 2021

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:31:16.487738Z

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.

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Observation fd3a4964-fd4c-42cf-9f26-6e96cac9a56f · outbound

This paper cites Simi- larity of neural network representations re- visited.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces Simi- larity of neural network representations re- visited

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:31:16.516344Z

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=2026-07-05T15:26:03.858776Z digest=sha256:c3850bc07567ea1357aa51257d5407cc0b9158a3c836a6f8a134abaea9f25bcc

Observation a8136d01-0a52-4385-a698-bc072ef3f14c · outbound

This paper cites An approach to discovering new tech- nology opportunities: Keyword-based patent map approach.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces An approach to discovering new tech- nology opportunities: Keyword-based patent map approach

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:31:16.491221Z

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=2026-07-05T15:26:03.858776Z digest=sha256:39cf26ae1e59071ea078c9d71d2eb2d2eddd18a286088411dfe2afdb269691b9

Observation 5d221f42-a690-4c0d-99bb-e713e56c1c10 · outbound

This paper cites Linguistic regularities in continuous space word representations.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces Linguistic regularities in continuous space word representations

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:31:16.503953Z

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=2026-07-05T15:26:03.858776Z digest=sha256:399cf1a383f00801a64d092974e42d4094a60be398a921da2b65e930511a78c9

Observation aee2df7b-d4ee-4fd3-bae0-c15a237ecf60 · outbound

This paper cites Code- Gen: An open large language model for code with multi-turn program synthesis.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces Code- Gen: An open large language model for code with multi-turn program synthesis

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:31:16.479957Z

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=2026-07-05T15:26:03.858776Z digest=sha256:7ff3a23681cb42e63b3c7686520a59aa40a4deb2c9d89b2f0c6137ee26256a23

Observation 6510acfb-e44d-4f09-a4d3-15fa6b657217 · outbound

This paper cites Animating rotation with quaternion curves.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces Animating rotation with quaternion curves

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:31:16.513496Z

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=2026-07-05T15:26:03.858776Z digest=sha256:016ccc4f8d72f9b30081a21e0dd14f5d4152dbe69dc1cf01cf93b4e1cec0a534

Observation 2424a8a1-1380-4c8e-b500-99a870efdb40 · outbound

This paper cites Electron energy-loss spectroscopy on freestanding perforated gold films.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces Electron energy-loss spectroscopy on freestanding perforated gold films

Reference 15

Resolution
metadata mismatch
local_arxiv, observed 2026-07-05T15:31:16.468581Z

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=2026-07-05T15:26:03.858776Z digest=sha256:588c839e85305081ef63d4c9776e9ab02edc693977c87225c0a03421e0bb2190

Observation c466c3ab-dbff-4819-a26f-f0e9de8cf812 · outbound

This paper cites Smith, Daniel Khashabi, and Hannaneh Hajishirzi.

Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces Smith, Daniel Khashabi, and Hannaneh Hajishirzi

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:31:16.476458Z

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=2026-07-05T15:26:03.858776Z digest=sha256:bf4c14d3a450d33728a5672e685f9e727ee3c518776490050dcb7ee5948f2ce6

Pith citing papers

No inbound Pith citation observations are available.