Pith Number

pith:Y4ROPUO5

pith:2013:Y4ROPUO5JO7PLN5J5ZJMIENNB3

not attested not anchored not stored refs pending

A path integral formalism for non-equilibrium Hamiltonian statistical systems

Richard Kleeman

arxiv:1307.1102 v6 · 2013-07-03 · 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{Y4ROPUO5JO7PLN5J5ZJMIENNB3}

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.

Cited by

1 paper in Pith

A non-equilibrium theoretical framework for statistical physics with application to turbulent systems and their predictability

Receipt and verification

First computed	2026-05-18T02:23:35.460258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c722e7d1dd4bbef5b7a9ee52c411ad0ec97a7fc5ce37e60215a73e97416c9d17

Aliases

arxiv: 1307.1102 · arxiv_version: 1307.1102v6 · doi: 10.48550/arxiv.1307.1102 · pith_short_12: Y4ROPUO5JO7P · pith_short_16: Y4ROPUO5JO7PLN5J · pith_short_8: Y4ROPUO5

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/Y4ROPUO5JO7PLN5J5ZJMIENNB3 \
  | 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: c722e7d1dd4bbef5b7a9ee52c411ad0ec97a7fc5ce37e60215a73e97416c9d17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a2dc2b515847aacc516eb8674b8c2880b654a2f3f0bfc172d54b6fb89456d90",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-03T18:31:37Z",
    "title_canon_sha256": "49ff483eb861f3172dc4a51dc6a123cb49873f08c40566a3d019098977f6ca80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1102",
    "kind": "arxiv",
    "version": 6
  }
}