Pith Number

pith:OOQD2CCH

pith:2023:OOQD2CCH4L2KG3ESJGBJKMBBB2

not attested not anchored not stored refs pending

Graph homology computations

Simon Brun, Thomas Willwacher

arxiv:2307.12668 v2 · 2023-07-24 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOQD2CCH4L2KG3ESJGBJKMBBB2}

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

2 papers in Pith

Wheel Classes in Kontsevich Graph Complex and Merkulov's Low-Valence Conjecture

Receipt and verification

First computed	2026-07-05T07:26:15.815606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73a03d0847e2f4a36c9249829530210e91e01c1e813d37424d187a1c73c0f0d8

Aliases

arxiv: 2307.12668 · arxiv_version: 2307.12668v2 · doi: 10.48550/arxiv.2307.12668 · pith_short_12: OOQD2CCH4L2K · pith_short_16: OOQD2CCH4L2KG3ES · pith_short_8: OOQD2CCH

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/OOQD2CCH4L2KG3ESJGBJKMBBB2 \
  | 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: 73a03d0847e2f4a36c9249829530210e91e01c1e813d37424d187a1c73c0f0d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9283b6d3e2c95834c5067496d2626ebb67b4c9146b1fd3562d8c3be9de38609f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2023-07-24T10:17:44Z",
    "title_canon_sha256": "bcedd22b3317627f21820dcac7ace96ad80a1e85c3790386a68f62e7195c7e7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.12668",
    "kind": "arxiv",
    "version": 2
  }
}