Pith Number

pith:GPQZRKC3

pith:2013:GPQZRKC3OEJY7O6SKH7LXWPN2U

not attested not anchored not stored refs pending

Deformations of log-Lagrangian submanifolds of Poisson manifolds

Ziv Ran

arxiv:1311.2656 v3 · 2013-11-12 · math.AG · 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{GPQZRKC3OEJY7O6SKH7LXWPN2U}

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	2026-05-18T02:35:52.280955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e198a85b71138fbbd251febbd9edd517c9d6b449617165030d422597b68d43

Aliases

arxiv: 1311.2656 · arxiv_version: 1311.2656v3 · doi: 10.48550/arxiv.1311.2656 · pith_short_12: GPQZRKC3OEJY · pith_short_16: GPQZRKC3OEJY7O6S · pith_short_8: GPQZRKC3

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/GPQZRKC3OEJY7O6SKH7LXWPN2U \
  | 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: 33e198a85b71138fbbd251febbd9edd517c9d6b449617165030d422597b68d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0a7146b2498bbf0f525775e374e97843aab2bc8c7e0d777282841d4e774fa50",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-12T02:01:06Z",
    "title_canon_sha256": "a3cd863a6bbf1a6ea557478168fa258dd94a208e3f0ca12c80e809a520e71553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2656",
    "kind": "arxiv",
    "version": 3
  }
}