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Paper Citation Record · LEDGER

Unsupervised learning using topological data augmentation

As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:1908.03469.

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

pith.paper-citation-record.v1
1908.03469 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:20:35.937849Z

measured 14 of 14 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:20:35.902647Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T14:20:35.967905Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 32f07fdc-09c4-4add-a5dc-a22393c12e47 · outbound

This paper cites Unsupervised learning using topological data augmentation.

Unsupervised learning using topological data augmentation Unsupervised learning using topological data augmentation

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T14:20:35.973345Z

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=pdf_text observed=2026-08-14T14:20:35.902647Z digest=sha256:1f1dacb9af710a10a661e473c54532024e81b563a5944019a207b587cc1749f3

Observation 401a1308-ec63-4afa-860e-7a51a40865ae · outbound

This paper cites an unresolved cited work.

Unsupervised learning using topological data augmentation Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:20:36.071459Z

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=pdf_text observed=2026-08-14T14:20:35.899140Z digest=sha256:60bb17ce2e841bcd5c5e110c4364c7c19511c439c9fe809f6e333af68acffa36

Observation 1bc8b7d6-7a1f-41eb-bfa6-4316ea76ef51 · outbound

This paper cites ω = 1 hx hy k FIG.

Unsupervised learning using topological data augmentation ω = 1 hx hy k FIG

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:20:36.063223Z

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=pdf_text observed=2026-08-14T14:20:35.906050Z digest=sha256:7a7b7197bf68bddd2239d5f86e0bd1a0865d182fb8fa27005602ba55fb51723d

Observation 190c47e3-0aad-46be-b850-c2d079a43b41 · outbound

This paper cites 2, with known winding num- bers ω = 0 and ω = 1.

Unsupervised learning using topological data augmentation 2, with known winding num- bers ω = 0 and ω = 1

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:20:36.053634Z

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=pdf_text observed=2026-08-14T14:20:35.909323Z digest=sha256:d4355e0de8bbb45ff64cc6b01139779d857147127e336b10761d7a7629e10f75

Observation f0a5dc89-c714-434c-944d-5236d02c3419 · outbound

This paper cites an unresolved cited work.

Unsupervised learning using topological data augmentation Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:20:36.045646Z

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=pdf_text observed=2026-08-14T14:20:35.912579Z digest=sha256:fe95968da6f9345e017d01b274f10ea948217bfe3ff69b6f6e157d0e5a44866c

Observation 97b23e05-166f-4d95-b0d2-f88ec1c9ad56 · outbound

This paper cites 4 we plot the network’s output y evaluated on the test dataset after training for 500 epochs with learning rate 10 −4 and for 500 epochs with learning rate 10−5.

Unsupervised learning using topological data augmentation 4 we plot the network’s output y evaluated on the test dataset after training for 500 epochs with learning rate 10 −4 and for 500 epochs with learning rate 10−5

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:20:36.036958Z

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=pdf_text observed=2026-08-14T14:20:35.915908Z digest=sha256:5cc62aaef59da92d1cd38edaeccbc39634b2916f3cbaab93b9619cc7d181a25e

Observation ee784c4c-ffed-4bd4-ad61-d52abbd71563 · outbound

This paper cites We now show that it is in fact not necessary for the classification to know the winding number of the non-trivial parent to get the topological classification.

Unsupervised learning using topological data augmentation We now show that it is in fact not necessary for the classification to know the winding number of the non-trivial parent to get the topological classification

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:20:36.028275Z

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=pdf_text observed=2026-08-14T14:20:35.919433Z digest=sha256:c7e45ab2c217d401f39087285e5455bb3cdca1c77798fe91316dd315b8641063

Observation a5d4103b-f11f-4ae7-b2c3-8f0699ce2881 · outbound

This paper cites A few examples, corre- sponding to random Hamiltonians, are shown in Fig.

Unsupervised learning using topological data augmentation A few examples, corre- sponding to random Hamiltonians, are shown in Fig

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:20:36.018754Z

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=pdf_text observed=2026-08-14T14:20:35.922600Z digest=sha256:7a32029fd84426945af9367b707ffdb431f440fcf533b428bebba3f2062b7602

Observation d3d95501-f3bf-4587-874e-2ed8e053b442 · outbound

This paper cites II A we here develop a scheme for finding topologically nontrivial band insulators belonging to symmetry class A in 2d.

Unsupervised learning using topological data augmentation II A we here develop a scheme for finding topologically nontrivial band insulators belonging to symmetry class A in 2d

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:20:36.009860Z

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=pdf_text observed=2026-08-14T14:20:35.926345Z digest=sha256:ec49a49d4660e311591fb66c5449b8089b9130d2a2d85e5795399909de4e9fe6

Observation 00581f60-8289-4d13-b33d-3f12be210e77 · outbound

This paper cites 8: Examples of 2d band insulators: 1.

Unsupervised learning using topological data augmentation 8: Examples of 2d band insulators: 1

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:20:36.001001Z

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=pdf_text observed=2026-08-14T14:20:35.929146Z digest=sha256:4d7d0e1f7351838edfbdc4382e486d6f1c8d1bc5a6bd5c6ebe8c38d15d2aac85

Observation b27e7bd2-befa-4776-91d4-499885962715 · outbound

This paper cites unique correspondence with continuous ones via an in- terpolation procedure schematically illustrated in Fig.

Unsupervised learning using topological data augmentation unique correspondence with continuous ones via an in- terpolation procedure schematically illustrated in Fig

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:20:35.991602Z

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=pdf_text observed=2026-08-14T14:20:35.931933Z digest=sha256:30968ae236c61903df06101f89247037c8120d01acccdcdddd33c8bf306760d0

Observation 12716305-b53f-4134-a4a7-13c45dd314df · outbound

This paper cites II A but now extended to 2d layered input as shown in Fig.

Unsupervised learning using topological data augmentation II A but now extended to 2d layered input as shown in Fig

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:20:35.982583Z

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=pdf_text observed=2026-08-14T14:20:35.934907Z digest=sha256:b8054dc10ce52c82feab54e64cddefc0c0c9cdcf150602d5ebbbd87e32cef6c7

Observation 97d80287-3b0b-49dc-8032-fb2ff80b089f · outbound

This paper cites Discovering physical concepts with neural networks.

Unsupervised learning using topological data augmentation Discovering physical concepts with neural networks

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T14:20:35.937849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:20:35.937849Z digest=sha256:5800ad6517f4dff8320611b913e257e8473ffb134ec022105b5b0803515c0520

Pith citing papers

Observation 32f07fdc-09c4-4add-a5dc-a22393c12e47 · inbound

Unsupervised learning using topological data augmentation cites this paper.

Unsupervised learning using topological data augmentation Unsupervised learning using topological data augmentation

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T14:20:35.973345Z

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=pdf_text observed=2026-08-14T14:20:35.902647Z digest=sha256:1f1dacb9af710a10a661e473c54532024e81b563a5944019a207b587cc1749f3