Pith Number

pith:TRMZYFWP

pith:2012:TRMZYFWPUMYX5TCEFK65HTWR6A

not attested not anchored not stored refs pending

On the principle of stationary isoeneretic action

Bozidar Jovanovic

arxiv:1207.0352 v1 · 2012-07-02 · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRMZYFWPUMYX5TCEFK65HTWR6A}

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	2026-05-18T03:51:59.546578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c599c16cfa3317ecc442abdd3ced1f020fb24ea779ba0eeb64883cb09bcc7a6

Aliases

arxiv: 1207.0352 · arxiv_version: 1207.0352v1 · doi: 10.48550/arxiv.1207.0352 · pith_short_12: TRMZYFWPUMYX · pith_short_16: TRMZYFWPUMYX5TCE · pith_short_8: TRMZYFWP

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/TRMZYFWPUMYX5TCEFK65HTWR6A \
  | 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: 9c599c16cfa3317ecc442abdd3ced1f020fb24ea779ba0eeb64883cb09bcc7a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00932dc3a2c3c9dc330808b12c4764b36ccdf09539f255f79c9ae8c2980de9a9",
    "cross_cats_sorted": [
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-02T12:03:57Z",
    "title_canon_sha256": "8beca74f6bf8c3b1b565733aa4bb3ca47f238024adef6cf728b2886f25f376b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0352",
    "kind": "arxiv",
    "version": 1
  }
}