Pith Number

pith:TKO5RW5H

pith:2011:TKO5RW5HMCTX2CGBQTZMEI4E52

not attested not anchored not stored refs pending

Driven cofactor systems and Hamilton-Jacobi separability

G. Waeyaert, W. Sarlet

arxiv:1109.4274 v2 · 2011-09-20 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKO5RW5HMCTX2CGBQTZMEI4E52}

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	2026-05-18T03:59:36.577814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a9dd8dba760a77d08c184f2c22384ee87cdd68728f42c77a4d5dc7c9acafcdc

Aliases

arxiv: 1109.4274 · arxiv_version: 1109.4274v2 · doi: 10.48550/arxiv.1109.4274 · pith_short_12: TKO5RW5HMCTX · pith_short_16: TKO5RW5HMCTX2CGB · pith_short_8: TKO5RW5H

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/TKO5RW5HMCTX2CGBQTZMEI4E52 \
  | 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: 9a9dd8dba760a77d08c184f2c22384ee87cdd68728f42c77a4d5dc7c9acafcdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9813a533fab06720f9dd9d819d759eb50433a4d30e187d953afaecbc9cc2177f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-20T12:05:11Z",
    "title_canon_sha256": "41d5d8a7786b98a3c53bfa46b0f912ddb168ce2d0849615bb5502f4c1122cef8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4274",
    "kind": "arxiv",
    "version": 2
  }
}