Pith Number

pith:BKT72WK5

pith:2015:BKT72WK5CSGZPJBFF2JSQ3LQV7

not attested not anchored not stored refs pending

Poisson Manifolds of Compact Types (PMCT 1)

David Martinez Torres, Marius Crainic, Rui Loja Fernandes

arxiv:1510.07108 v2 · 2015-10-24 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKT72WK5CSGZPJBFF2JSQ3LQV7}

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.

Receipt and verification

First computed	2026-05-18T01:18:42.164397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa7fd595d148d97a4252e93286d70afe0f3d54540be704557a7291fb4af62a0

Aliases

arxiv: 1510.07108 · arxiv_version: 1510.07108v2 · doi: 10.48550/arxiv.1510.07108 · pith_short_12: BKT72WK5CSGZ · pith_short_16: BKT72WK5CSGZPJBF · pith_short_8: BKT72WK5

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/BKT72WK5CSGZPJBFF2JSQ3LQV7 \
  | 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: 0aa7fd595d148d97a4252e93286d70afe0f3d54540be704557a7291fb4af62a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ca2090fa7719e18fbb889ea7c7e288f06e198cbe0e35a80c89d5b3341b49475",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-24T05:44:17Z",
    "title_canon_sha256": "506b28a0267b530279b3b6c8781c7d6bd6ad087ec13ed4b6fc8d52d8535a573f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07108",
    "kind": "arxiv",
    "version": 2
  }
}