Pith Number

pith:WTCK75TE

pith:2013:WTCK75TERHX37HR2SCIALKPZEK

not attested not anchored not stored refs pending

Symplectic structures on the tangent bundle of a smooth manifold

Abouqateb Abdelhak, Aziz Ikemakhen, Mohamed Boucetta

arxiv:1302.5886 v1 · 2013-02-24 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTCK75TERHX37HR2SCIALKPZEK}

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	2026-05-18T03:32:43.297401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4c4aff66489efbf9e3a909005a9f922a1d385e9c070d0bf3c1abce6c156ca62

Aliases

arxiv: 1302.5886 · arxiv_version: 1302.5886v1 · doi: 10.48550/arxiv.1302.5886 · pith_short_12: WTCK75TERHX3 · pith_short_16: WTCK75TERHX37HR2 · pith_short_8: WTCK75TE

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/WTCK75TERHX37HR2SCIALKPZEK \
  | 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: b4c4aff66489efbf9e3a909005a9f922a1d385e9c070d0bf3c1abce6c156ca62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf6d05dbffa86383f41b344237f13586d7bcc22133c50f3750d8832e39173409",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-02-24T09:10:47Z",
    "title_canon_sha256": "1792405172212cd678f8c05d69fa5ee39b3d999e5a73c166b6dbcda074e74df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5886",
    "kind": "arxiv",
    "version": 1
  }
}