Pith Number

pith:GFZUDM44

pith:2012:GFZUDM44RFZOZSVBQMSFAUCHBN

not attested not anchored not stored refs pending

Quasi-Poisson structures on representation spaces of surfaces

Gwenael Massuyeau, Vladimir Turaev

arxiv:1205.4898 v3 · 2012-05-22 · math.GT · math.QA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFZUDM44RFZOZSVBQMSFAUCHBN}

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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

1 paper in Pith

Coupled double Poisson brackets

Receipt and verification

First computed	2026-05-18T03:03:32.761383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

317341b39c8972eccaa183245050470b5d261f893185e9b1e4e9088dc94f8955

Aliases

arxiv: 1205.4898 · arxiv_version: 1205.4898v3 · doi: 10.48550/arxiv.1205.4898 · pith_short_12: GFZUDM44RFZO · pith_short_16: GFZUDM44RFZOZSVB · pith_short_8: GFZUDM44

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/GFZUDM44RFZOZSVBQMSFAUCHBN \
  | 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: 317341b39c8972eccaa183245050470b5d261f893185e9b1e4e9088dc94f8955

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9b2c852891d2a92d248ed8c7cd21eb5c72b6246d6fe878a284ad533ae0ed6ed",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-22T12:46:23Z",
    "title_canon_sha256": "bb925b31b34a1223b87a9e6d3f0627ab8da0f0594fcccc144b63feaa83d94ceb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4898",
    "kind": "arxiv",
    "version": 3
  }
}