Pith Number

pith:4UY6EOCQ

pith:2012:4UY6EOCQ7VO5IKSUDGLYD5QQBI

not attested not anchored not stored refs pending

Phase space reduction of the one-dimensional Fokker-Planck (Kramers) equation

Jerome K. Percus, Pavol Kalinay

arxiv:1204.1145 v1 · 2012-04-05 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UY6EOCQ7VO5IKSUDGLYD5QQBI}

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	2026-05-18T03:45:10.609682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e531e23850fd5dd42a54199781f6100a2aea218f1d99435757854c16ee101e7d

Aliases

arxiv: 1204.1145 · arxiv_version: 1204.1145v1 · doi: 10.48550/arxiv.1204.1145 · pith_short_12: 4UY6EOCQ7VO5 · pith_short_16: 4UY6EOCQ7VO5IKSU · pith_short_8: 4UY6EOCQ

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/4UY6EOCQ7VO5IKSUDGLYD5QQBI \
  | 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: e531e23850fd5dd42a54199781f6100a2aea218f1d99435757854c16ee101e7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ac1e05bd89b6a23117d3238df46725e6e46157c8754948a996f79597addbf9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-04-05T08:19:58Z",
    "title_canon_sha256": "5be2de95e0eb3ecfe61f9f04b7eb6a189e64a4fe674ff2704b531c1b444a588f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1145",
    "kind": "arxiv",
    "version": 1
  }
}