Pith Number

pith:5UJF7KSK

pith:2015:5UJF7KSKPYPFPSXHOM2SVPA2IJ

not attested not anchored not stored refs pending

Smoluchowski Diffusion Equation for Active Brownian Swimmers

Francisco J. Sevilla, Mario Sandoval

arxiv:1501.07237 v2 · 2015-01-28 · 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{5UJF7KSKPYPFPSXHOM2SVPA2IJ}

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	2026-05-18T01:34:55.043728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed125faa4a7e1e57cae773352abc1a424676ce2534bd68b1640fe8beb63a3edc

Aliases

arxiv: 1501.07237 · arxiv_version: 1501.07237v2 · doi: 10.48550/arxiv.1501.07237 · pith_short_12: 5UJF7KSKPYPF · pith_short_16: 5UJF7KSKPYPFPSXH · pith_short_8: 5UJF7KSK

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/5UJF7KSKPYPFPSXHOM2SVPA2IJ \
  | 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: ed125faa4a7e1e57cae773352abc1a424676ce2534bd68b1640fe8beb63a3edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d8e4dfd9dc6b0d30bff849ba108dd6b5c4e5cf820cdec10ee3f26441803ffc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-01-28T19:06:08Z",
    "title_canon_sha256": "fb9668aba66a601c9529effc4dcc445989d3fcb7d27ea7d0c4912b645ae03607"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07237",
    "kind": "arxiv",
    "version": 2
  }
}