Pith Number

pith:T23B4D3C

pith:2013:T23B4D3CONTCLEN6JU2KYCVSSY

not attested not anchored not stored refs pending

Hamilton-Jacobi Theorems for Regular Reducible Hamiltonian Systems on a Cotangent Bundle

Hong Wang

arxiv:1303.5840 v5 · 2013-03-23 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T23B4D3CONTCLEN6JU2KYCVSSY}

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	2026-05-18T00:46:56.052091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eb61e0f6273662591be4d34ac0ab296289a03b1e04723bb3858b629024afab6

Aliases

arxiv: 1303.5840 · arxiv_version: 1303.5840v5 · doi: 10.48550/arxiv.1303.5840 · pith_short_12: T23B4D3CONTC · pith_short_16: T23B4D3CONTCLEN6 · pith_short_8: T23B4D3C

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/T23B4D3CONTCLEN6JU2KYCVSSY \
  | 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: 9eb61e0f6273662591be4d34ac0ab296289a03b1e04723bb3858b629024afab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22e9ab90e91960d1c7014e5eeae5ed2efc6a4c5a11cf6806257548f63972b63d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-03-23T12:24:04Z",
    "title_canon_sha256": "8d1ea4999170ccfc470e16194adfe9a4f36a2c685424c0dad0755807ee8c6bc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5840",
    "kind": "arxiv",
    "version": 5
  }
}