Pith Number

pith:HZRHQGMM

pith:2017:HZRHQGMMM4Y5UEOCBPI3YVRQ6V

not attested not anchored not stored refs pending

The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem

Anton Alekseev, Florian Naef, Nariya Kawazumi, Yusuke Kuno

arxiv:1703.05813 v2 · 2017-03-16 · math.GT · 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{HZRHQGMMM4Y5UEOCBPI3YVRQ6V}

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

Coupled double Poisson brackets

Drinfeld associators and Kashiwara-Vergne associators in higher genera

Receipt and verification

First computed	2026-05-18T00:15:52.638797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e6278198c6731da11c20bd1bc5630f56df8ff96aa7aea090da0435356acd257

Aliases

arxiv: 1703.05813 · arxiv_version: 1703.05813v2 · doi: 10.48550/arxiv.1703.05813 · pith_short_12: HZRHQGMMM4Y5 · pith_short_16: HZRHQGMMM4Y5UEOC · pith_short_8: HZRHQGMM

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/HZRHQGMMM4Y5UEOCBPI3YVRQ6V \
  | 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: 3e6278198c6731da11c20bd1bc5630f56df8ff96aa7aea090da0435356acd257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64bc4583cea132e81545e4968e20398d87374ed711c4dab529f3c9460715c1fa",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-03-16T20:47:38Z",
    "title_canon_sha256": "8a3b6eb3aa70c484171d77cf67eb8ab1401d5588260655e7bf9e97d87035ec0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05813",
    "kind": "arxiv",
    "version": 2
  }
}