Pith Number

pith:LCVNIWJX

pith:2023:LCVNIWJXJAWX6LMNVPF2KWVNQ7

not attested not anchored not stored refs pending

Gapped Clique Homology on weighted graphs is $\text{QMA}_1$-hard and contained in $\text{QMA}$

Robbie King, Tamara Kohler

arxiv:2311.17234 v2 · 2023-11-28 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCVNIWJXJAWX6LMNVPF2KWVNQ7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Quantum encodings that preserve persistent homology

Receipt and verification

First computed	2026-07-05T09:16:10.352197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58aad45937482d7f2d8dabcba55aad87c1d506aca3270f53d27891c640fc3a70

Aliases

arxiv: 2311.17234 · arxiv_version: 2311.17234v2 · doi: 10.48550/arxiv.2311.17234 · pith_short_12: LCVNIWJXJAWX · pith_short_16: LCVNIWJXJAWX6LMN · pith_short_8: LCVNIWJX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LCVNIWJXJAWX6LMNVPF2KWVNQ7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 58aad45937482d7f2d8dabcba55aad87c1d506aca3270f53d27891c640fc3a70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de781bfcc6d7e4ab0e201e1dae4faed17e2d8d26afb9dee62d43736c08bc0f27",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-11-28T21:15:30Z",
    "title_canon_sha256": "9a429900b2d91b428d0016fc2a127cfe972b43f5c258e210801659d1d5027833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.17234",
    "kind": "arxiv",
    "version": 2
  }
}