Pith. sign in

Paper Citation Record · LEDGER

Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians

As of 18 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2607.03278.

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

pith.paper-citation-record.v1
2607.03278 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T03:35:15.453974Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:13:01.264015Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T18:16:14.067578Z

Reference resolution

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2b7ebac3-1060-41eb-b01b-664a6ff7d617 · outbound

This paper cites Universal Quantum Hamiltonians.

Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians Universal Quantum Hamiltonians

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-12T03:35:15.453974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:35:15.453974Z digest=sha256:5e52f1ba68974474bcd36c650bf195ef62a68807ef1a4aae5d02862078485647

Observation 70102b74-fe40-4ab9-b517-f1d89cef15b2 · outbound

This paper cites an unresolved cited work.

Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-12T03:35:15.453974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:35:15.453974Z digest=sha256:62fccba41078542803b31f51838fd407b8c7cb4038b09c6ddc7e02278d01d370

Observation b98199bb-aaca-4808-98c3-b08e7772e3b6 · outbound

This paper cites Output:An estimateχ∈Rwith probability at leastµthat satisfies Trη(H)−ϵ≤χ≤ Trη(H) +ϵ, where Trη(H) := 1 2n X 0≤λi≤η λi.

Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians Output:An estimateχ∈Rwith probability at leastµthat satisfies Trη(H)−ϵ≤χ≤ Trη(H) +ϵ, where Trη(H) := 1 2n X 0≤λi≤η λi

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-12T03:35:15.453974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:35:15.453974Z digest=sha256:53a9c4d652552bf9044e1797905f752c3fbbcc427fb4836dcedaf4796a6b4964

Observation 8469f360-427f-4b73-aba9-f2dbc79cf9c2 · outbound

This paper cites an unresolved cited work.

Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-12T03:35:15.453974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:35:15.453974Z digest=sha256:8f8e60e18ed17a1d16627fa7762baa428b11143cd2e41e9fcaf373e066154111

Observation 03ff8d3e-5d82-4146-a995-498ea72d480b · outbound

This paper cites Output:An estimateχ∈[0,1]with probability at leastµthat satisfies DH(0, η)−ϵ≤χ≤D H(0, η+δ) +ϵ 1In [GCD22],N H (a, b) was used for this quantity.

Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians Output:An estimateχ∈[0,1]with probability at leastµthat satisfies DH(0, η)−ϵ≤χ≤D H(0, η+δ) +ϵ 1In [GCD22],N H (a, b) was used for this quantity

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-12T03:35:15.453974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:35:15.453974Z digest=sha256:fdf4a32ecda597d0cf86db498c4af15aa334d6bdf1f6bb196587eab532aa8f10

Observation 829e40c2-7979-4672-ade6-dd0a5e67d8a3 · outbound

This paper cites Promise:1.

Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians Promise:1

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-12T03:35:15.453974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:35:15.453974Z digest=sha256:bd15cd2a5282eb3d17dbb72246207762dec4cc0fe743f479485cec859aa4eb11

Observation 802fd5ee-55bd-492e-af29-9ea7e5ab121b · outbound

This paper cites Output:1if (a),0if (b).

Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians Output:1if (a),0if (b)

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-12T03:35:15.453974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:35:15.453974Z digest=sha256:e6069e096032499d5d7d4f3f38c4bb66189472d193bf5f5a4e9a7c4b8bef0111

Observation 85339d6e-8674-478a-a5ae-9b131e363e1a · outbound

This paper cites an unresolved cited work.

Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-12T03:35:15.453974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:35:15.453974Z digest=sha256:23bb739ef92544cbf48f37a91f20bb34782f28c4e1f411327a2edea9295f672c

Observation e67aa115-4fd3-44ab-af49-6d43d2352ccb · outbound

This paper cites Promise:.

Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians Promise:

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-12T03:35:15.453974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:35:15.453974Z digest=sha256:ed6b04a75f5514d2702c3a6db9b58bbee168b5ebc459bc73007f3d289553d98c

Observation c3dc98c1-3923-4681-ae4d-f6ff9617abce · outbound

This paper cites an unresolved cited work.

Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-12T03:35:15.453974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:35:15.453974Z digest=sha256:bc187201141cd26482743fc750024dcdf10dc0b8ce53671383f8f337d7bb685d

Observation bb58570c-eeda-420c-aa63-8f862b26dc60 · outbound

This paper cites Output:1if(a),0if(b).

Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians Output:1if(a),0if(b)

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-12T03:35:15.453974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:35:15.453974Z digest=sha256:59ca7a88a5c6c9084aaf58067de5b643d7f2893bc815eb229717b0bbea6693c2

Observation 4ecaf515-e0c0-4ffb-afba-381fd885caa2 · outbound

This paper cites an unresolved cited work.

Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-12T03:35:15.453974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:35:15.453974Z digest=sha256:b2f33acbaaa491f97dc96e88b0c93ccf520eafaab5c9e0ac19b2e81c1dc6c138

Observation 601ac0ab-48ff-48d2-ba99-44d9e6df3f6e · outbound

This paper cites an unresolved cited work.

Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-12T03:35:15.453974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:35:15.453974Z digest=sha256:54953be731834b7a8668171fd2477c0391b2faf0741030b527e0df97e5b3a274

Observation 973439f0-f791-4291-9ae6-f5974cefa47b · outbound

This paper cites 60 Promise:Either(a) ∥projE≤η(H)(|ψ⟩)∥ ≥ 1 poly(n) , or(b) ∥projE≤η(H)(|ψ⟩)∥< 1 exp(n).

Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians 60 Promise:Either(a) ∥projE≤η(H)(|ψ⟩)∥ ≥ 1 poly(n) , or(b) ∥projE≤η(H)(|ψ⟩)∥< 1 exp(n)

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-12T03:35:15.453974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:35:15.453974Z digest=sha256:4dc0b26d1ef541184492cfd732aa0d5fecf155390b0feefcafcf54d6df4362b1

Pith citing papers

Observation 12580fdb-1d37-401b-8151-e612b868cd32 · inbound

Unweighted Gapped Clique Homology is $\mathsf{QMA}_1$-complete cites this paper.

Unweighted Gapped Clique Homology is $\mathsf{QMA}_1$-complete Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-15T15:13:01.526803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T15:13:01.264015Z digest=sha256:67015705fc4a656565952b43dc0dfb3748beea0080c0c37255b84c5655ae91c5