Pith Number

pith:A25RSJ6B

pith:2015:A25RSJ6B266ZDNFF4CL5FVRUMY

not attested not anchored not stored refs pending

A Hamilton-Jacobi Theory for general dynamical systems and integrability by quadratures in symplectic and Poisson manifolds

Edith Padr\'on, Sergio Grillo

arxiv:1512.03121 v1 · 2015-12-10 · 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{A25RSJ6B266ZDNFF4CL5FVRUMY}

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	2026-05-18T01:04:21.935566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06bb1927c1d7bd91b4a5e097d2d63466366edde81c9415f2b797394ff5dfcaf8

Aliases

arxiv: 1512.03121 · arxiv_version: 1512.03121v1 · doi: 10.48550/arxiv.1512.03121 · pith_short_12: A25RSJ6B266Z · pith_short_16: A25RSJ6B266ZDNFF · pith_short_8: A25RSJ6B

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/A25RSJ6B266ZDNFF4CL5FVRUMY \
  | 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: 06bb1927c1d7bd91b4a5e097d2d63466366edde81c9415f2b797394ff5dfcaf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76ed77adf4c2db1be9af9189c06274536eb3189c9e68eb9c9c3ff6d66ac8a8cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-10T01:08:56Z",
    "title_canon_sha256": "870788c790371fb100726dea99d340b6fe1d161768c6d925cb9c04ac28296872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03121",
    "kind": "arxiv",
    "version": 1
  }
}