Pith Number

pith:4GQ6RWM3

pith:2017:4GQ6RWM3MMGRPNJAUVA56UOY7Z

not attested not anchored not stored refs pending

A Hamilton-Jacobi theory for implicit differential systems

C. Sard\'on, M. De Le\'On, O. Esen

arxiv:1708.01586 v1 · 2017-08-04 · 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{4GQ6RWM3MMGRPNJAUVA56UOY7Z}

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	2026-05-18T00:21:13.180855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a1e8d99b630d17b520a541df51d8fe5765e5415c0376f5547179500e3c797b

Aliases

arxiv: 1708.01586 · arxiv_version: 1708.01586v1 · doi: 10.48550/arxiv.1708.01586 · pith_short_12: 4GQ6RWM3MMGR · pith_short_16: 4GQ6RWM3MMGRPNJA · pith_short_8: 4GQ6RWM3

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/4GQ6RWM3MMGRPNJAUVA56UOY7Z \
  | 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: e1a1e8d99b630d17b520a541df51d8fe5765e5415c0376f5547179500e3c797b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a80abd5f5dfc577628b0bb9fb4349abf645f899afa87be14db9e04d9540f611",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-08-04T16:54:11Z",
    "title_canon_sha256": "42e128eab8d37c6efd93105c8f45b2296b3e59b8e6f08bf93f672d4c9bfffcbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01586",
    "kind": "arxiv",
    "version": 1
  }
}