Pith Number

pith:QPBMFMVD

pith:2025:QPBMFMVDJWQF62FYPK6AFEENZB

not attested not anchored not stored refs pending

The formality of the Goldman-Turaev Lie bialgebra on a closed surface

Toyo Taniguchi

arxiv:2502.06154 v2 · 2025-02-10 · math.QA · math.AT · math.GT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPBMFMVDJWQF62FYPK6AFEENZB}

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

Drinfeld associators and Kashiwara-Vergne associators in higher genera

Receipt and verification

First computed	2026-07-05T10:36:35.807536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83c2c2b2a34da05f68b87abc02908dc86eebb0b147fb9fa8a3df7d4b4f61cbac

Aliases

arxiv: 2502.06154 · arxiv_version: 2502.06154v2 · doi: 10.48550/arxiv.2502.06154 · pith_short_12: QPBMFMVDJWQF · pith_short_16: QPBMFMVDJWQF62FY · pith_short_8: QPBMFMVD

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/QPBMFMVDJWQF62FYPK6AFEENZB \
  | 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: 83c2c2b2a34da05f68b87abc02908dc86eebb0b147fb9fa8a3df7d4b4f61cbac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34786db35fdbc453bd611a6b5427cc67d437894a5cfd3bc0fe886ee1b3926a15",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-02-10T04:59:03Z",
    "title_canon_sha256": "17fe1e3e7bf3f522c8c9aeed467991f375061f8b5e4f9e0f7a255b2090f341dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06154",
    "kind": "arxiv",
    "version": 2
  }
}