Pith Number

pith:NN42TQY2

pith:2013:NN42TQY2SPSLWLMJHAEXYZBP5G

not attested not anchored not stored refs pending

The functional mechanics: evolution of the moments of distribution function and the Poincare recurrence theorem

Andrey Mikhailov

arxiv:1305.4057 v1 · 2013-05-17 · cond-mat.stat-mech · 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{NN42TQY2SPSLWLMJHAEXYZBP5G}

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	2026-05-18T03:25:26.422021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b79a9c31a93e4bb2d8938097c642fe99bb930c734dc9d67d1714872174a40c8

Aliases

arxiv: 1305.4057 · arxiv_version: 1305.4057v1 · doi: 10.48550/arxiv.1305.4057 · pith_short_12: NN42TQY2SPSL · pith_short_16: NN42TQY2SPSLWLMJ · pith_short_8: NN42TQY2

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/NN42TQY2SPSLWLMJHAEXYZBP5G \
  | 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: 6b79a9c31a93e4bb2d8938097c642fe99bb930c734dc9d67d1714872174a40c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40bd0ced6784e8dd72a9ea663e7ece2690e4c342cb47b1e5c6d9d40e53187e77",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-05-17T12:17:23Z",
    "title_canon_sha256": "27c6d094842e6ce505a5bf040fcdb7fdd8fe68036d808afd4c7ea2a4b268a550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4057",
    "kind": "arxiv",
    "version": 1
  }
}