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Pith Number

pith:WYJPP3TS

pith:2018:WYJPP3TS27YRU3VRIBJFPJI6RX
not attested not anchored not stored refs pending

The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera

Anton Alekseev, Florian Naef, Nariya Kawazumi, Yusuke Kuno

arxiv:1804.09566 v3 · 2018-04-25 · math.GT · math.AT · math.QA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WYJPP3TS27YRU3VRIBJFPJI6RX}

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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

4 papers in Pith

Receipt and verification
First computed 2026-07-05T07:04:07.761593Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b612f7ee72d7f11a6eb1405257a51e8de2bc54a0bcff4b3a71735c1e1b0d6529

Aliases

arxiv: 1804.09566 · arxiv_version: 1804.09566v3 · doi: 10.48550/arxiv.1804.09566 · pith_short_12: WYJPP3TS27YR · pith_short_16: WYJPP3TS27YRU3VR · pith_short_8: WYJPP3TS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WYJPP3TS27YRU3VRIBJFPJI6RX \
  | 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: b612f7ee72d7f11a6eb1405257a51e8de2bc54a0bcff4b3a71735c1e1b0d6529
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fd37dafc9ce5a6f3ba7db0a6c27ff0be48fdcacc3eb6855d0da97990e04e992a",
    "cross_cats_sorted": [
      "math.AT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-04-25T13:46:22Z",
    "title_canon_sha256": "32df38e034bc329f3e6fa11876dcfd801c68148e7fabe87e2df14739d7eb3b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09566",
    "kind": "arxiv",
    "version": 3
  }
}