Pith Number

pith:6C32RH7F

pith:2013:6C32RH7FMUHTCVWYIIM25ZV4ZW

not attested not anchored not stored refs pending

Fluctuation Spectra and Coarse Graining in Stochastic Dynamics

Artur Wachtel

arxiv:1312.0115 v1 · 2013-11-30 · 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{6C32RH7FMUHTCVWYIIM25ZV4ZW}

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	2026-05-18T03:05:46.746186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0b7a89fe5650f3156d84219aee6bccdae0c758b9a29427efed9a68d184acc24

Aliases

arxiv: 1312.0115 · arxiv_version: 1312.0115v1 · doi: 10.48550/arxiv.1312.0115 · pith_short_12: 6C32RH7FMUHT · pith_short_16: 6C32RH7FMUHTCVWY · pith_short_8: 6C32RH7F

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/6C32RH7FMUHTCVWYIIM25ZV4ZW \
  | 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: f0b7a89fe5650f3156d84219aee6bccdae0c758b9a29427efed9a68d184acc24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "237c1aac626c9242d7bafd980cd383b06f8baf7ecfb1434312fb7a26b641fb75",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-11-30T15:07:59Z",
    "title_canon_sha256": "d20cb5dc150bdaa5d03839bacddfa76f69c7667af46ad6ece584a689ebc287e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0115",
    "kind": "arxiv",
    "version": 1
  }
}