Pith Number

pith:6NZP7YY5

pith:2018:6NZP7YY5B4WHVCZABIXYUSSE6G

not attested not anchored not stored refs pending

Non-commutative integrability, exact solvability and the Hamilton-Jacobi theory

Sergio D. Grillo

arxiv:1804.10958 v2 · 2018-04-29 · nlin.SI · 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{6NZP7YY5B4WHVCZABIXYUSSE6G}

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	2026-05-18T00:02:17.978971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f372ffe31d0f2c7a8b200a2f8a4a44f1bf56247687649f3e1c333473b4bc6d7a

Aliases

arxiv: 1804.10958 · arxiv_version: 1804.10958v2 · doi: 10.48550/arxiv.1804.10958 · pith_short_12: 6NZP7YY5B4WH · pith_short_16: 6NZP7YY5B4WHVCZA · pith_short_8: 6NZP7YY5

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/6NZP7YY5B4WHVCZABIXYUSSE6G \
  | 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: f372ffe31d0f2c7a8b200a2f8a4a44f1bf56247687649f3e1c333473b4bc6d7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "827806579a0598d10f059bcc4a1c1f78783a7eeb91956155d35b77d09b879ed1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2018-04-29T16:12:13Z",
    "title_canon_sha256": "8d5ea94774b70326e0d8587a43708b30cb00638eca1a56ffd80e5f83b0a54102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10958",
    "kind": "arxiv",
    "version": 2
  }
}