Pith Number

pith:NTRTTV7S

pith:2025:NTRTTV7SV4TEDE332323BF74VT

not attested not anchored not stored refs pending

Goldman-Turaev formality from the Kontsevitch integral

Dror Bar-Natan, Jessica Liu, Nancy Scherich, Tamara Hogan, Zsuzsanna Dancso

arxiv:2509.20983 v3 · 2025-09-25 · 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{NTRTTV7SV4TEDE332323BF74VT}

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

Brunnian braids and the inclusion from double shuffle Lie algebra to Kashiwara-Vergne Lie algebra

Drinfeld associators and Kashiwara-Vergne associators in higher genera

Receipt and verification

First computed	2026-06-09T02:08:33.498861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ce339d7f2af2641937bd6f5b097fcacee777b40e389ae2081f9a640370d68f5

Aliases

arxiv: 2509.20983 · arxiv_version: 2509.20983v3 · doi: 10.48550/arxiv.2509.20983 · pith_short_12: NTRTTV7SV4TE · pith_short_16: NTRTTV7SV4TEDE33 · pith_short_8: NTRTTV7S

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/NTRTTV7SV4TEDE332323BF74VT \
  | 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: 6ce339d7f2af2641937bd6f5b097fcacee777b40e389ae2081f9a640370d68f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "271d29a7a3964cbaf7de72906e582ad84d73f1600eeeb7330dc42e20e0139e2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-09-25T10:27:21Z",
    "title_canon_sha256": "89bd8640d1452fbb5e6fb2b1312430001e6b93a34453176296d893ec85bd6f94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.20983",
    "kind": "arxiv",
    "version": 3
  }
}