Pith Number

pith:YMVVVKBT

pith:2010:YMVVVKBTOQAIAGQF3MZ2N5LSHY

not attested not anchored not stored refs pending

Multiscaling for Classical Nanosystems: Derivation of Smoluchowski and Fokker-Planck Equations

Peter Ortoleva, Stephen Pankavich, Zeina Shreif

arxiv:1001.1216 v1 · 2010-01-08 · cond-mat.mes-hall · cond-mat.stat-mech · physics.chem-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{YMVVVKBTOQAIAGQF3MZ2N5LSHY}

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	2026-05-18T02:10:03.864995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c32b5aa8337400801a05db33a6f5723e2ac5a55c53fbf7466ae902a97cf29590

Aliases

arxiv: 1001.1216 · arxiv_version: 1001.1216v1 · doi: 10.48550/arxiv.1001.1216 · pith_short_12: YMVVVKBTOQAI · pith_short_16: YMVVVKBTOQAIAGQF · pith_short_8: YMVVVKBT

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/YMVVVKBTOQAIAGQF3MZ2N5LSHY \
  | 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: c32b5aa8337400801a05db33a6f5723e2ac5a55c53fbf7466ae902a97cf29590

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97ea36967a1bbac7f24717353fda6fe7102a262506e37012c85a707f7279703b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2010-01-08T08:09:41Z",
    "title_canon_sha256": "6e84575d5600dc69e0504f69817a65c15b6b85feefdd0f95c5c2b616278587b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1216",
    "kind": "arxiv",
    "version": 1
  }
}