Pith Number

pith:PZL345GA

pith:2011:PZL345GAFQPWLLJUZ26J66F46K

not attested not anchored not stored refs pending

Lagrangian-Hamiltonian unified formalism for autonomous higher-order dynamical systems

Narciso Rom\'an-Roy, Pedro D. Prieto-Mart\'inez

arxiv:1106.3261 v4 · 2011-06-16 · math-ph · hep-th · 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{PZL345GAFQPWLLJUZ26J66F46K}

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	2026-05-18T01:24:31.092055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e57be74c02c1f65ad34cebc9f78bcf29a60a93c3222804085e559530b8d5e64

Aliases

arxiv: 1106.3261 · arxiv_version: 1106.3261v4 · doi: 10.48550/arxiv.1106.3261 · pith_short_12: PZL345GAFQPW · pith_short_16: PZL345GAFQPWLLJU · pith_short_8: PZL345GA

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/PZL345GAFQPWLLJUZ26J66F46K \
  | 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: 7e57be74c02c1f65ad34cebc9f78bcf29a60a93c3222804085e559530b8d5e64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2027be18a03f4e059e6c23163a4fb712e0c92c5bd6df765603c4a715a75e27b",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-16T16:07:30Z",
    "title_canon_sha256": "15b6205b010e47b17a0c83ce35119f3c4ca8684dd9966d7c3ea22bed3aa0f67c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3261",
    "kind": "arxiv",
    "version": 4
  }
}