Pith Number

pith:BBDVMA2E

pith:2012:BBDVMA2EQTUYVV6CH3TVFRXB45

not attested not anchored not stored refs pending

Power-law behaviors from the two-variable Langevin equation: Ito's and Stratonovich's Fokker-Planck equations

Jiulin Du, Ran Guo

arxiv:1212.3980 v2 · 2012-12-17 · cond-mat.stat-mech · physics.bio-ph · physics.chem-ph · physics.geo-ph · physics.plasm-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBDVMA2EQTUYVV6CH3TVFRXB45}

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	2026-05-18T01:35:42.216607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

084756034484e98ad7c23ee752c6e1e769ece2f49860c5c77deb824d2e00fa26

Aliases

arxiv: 1212.3980 · arxiv_version: 1212.3980v2 · doi: 10.48550/arxiv.1212.3980 · pith_short_12: BBDVMA2EQTUY · pith_short_16: BBDVMA2EQTUYVV6C · pith_short_8: BBDVMA2E

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/BBDVMA2EQTUYVV6CH3TVFRXB45 \
  | 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: 084756034484e98ad7c23ee752c6e1e769ece2f49860c5c77deb824d2e00fa26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11b5aecf5145f302a78a99c4ae15e9200a990b9b125d2963feb2ec173868c4f1",
    "cross_cats_sorted": [
      "physics.bio-ph",
      "physics.chem-ph",
      "physics.geo-ph",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-12-17T13:11:23Z",
    "title_canon_sha256": "d7915d7982ad650f759b4cbbb80042c463fc38389d85a0e8ba6c09d26751f39a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3980",
    "kind": "arxiv",
    "version": 2
  }
}