Pith Number

pith:AO6CU5CY

pith:2013:AO6CU5CYFYJNX4EEPHO3DRIGGK

not attested not anchored not stored refs pending

Brackets in the Pontryagin algebras of manifolds

Gwenael Massuyeau, Vladimir Turaev

arxiv:1308.5131 v4 · 2013-08-23 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AO6CU5CYFYJNX4EEPHO3DRIGGK}

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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	2026-05-18T00:16:39.329378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03bc2a74582e12dbf08479ddb1c50632840e5bbd4304347fc3b141c4b28fc400

Aliases

arxiv: 1308.5131 · arxiv_version: 1308.5131v4 · doi: 10.48550/arxiv.1308.5131 · pith_short_12: AO6CU5CYFYJN · pith_short_16: AO6CU5CYFYJNX4EE · pith_short_8: AO6CU5CY

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/AO6CU5CYFYJNX4EEPHO3DRIGGK \
  | 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: 03bc2a74582e12dbf08479ddb1c50632840e5bbd4304347fc3b141c4b28fc400

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca61a2661600390dac553832fbcafbe75e669bfe3061a56b9976bed060599782",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-08-23T14:19:27Z",
    "title_canon_sha256": "7cc92b5e9d1dd7f7289c34664dd45e51dfe81dc3977af12e30971fbe36537dcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5131",
    "kind": "arxiv",
    "version": 4
  }
}