Pith Number

pith:ZBCHT2SL

pith:2009:ZBCHT2SL7MY3YHJZRORSCTJ4BY

not attested not anchored not stored refs pending

Quantum Smoluchowski equation: A systematic study

Joachim Ankerhold, Stefan A. Maier

arxiv:0908.1064 v3 · 2009-08-07 · 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{ZBCHT2SL7MY3YHJZRORSCTJ4BY}

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	2026-05-18T04:42:44.685246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c84479ea4bfb31bc1d398ba3214d3c0e0bd292f78eb7b25c7b0700e59081a9c5

Aliases

arxiv: 0908.1064 · arxiv_version: 0908.1064v3 · doi: 10.48550/arxiv.0908.1064 · pith_short_12: ZBCHT2SL7MY3 · pith_short_16: ZBCHT2SL7MY3YHJZ · pith_short_8: ZBCHT2SL

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/ZBCHT2SL7MY3YHJZRORSCTJ4BY \
  | 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: c84479ea4bfb31bc1d398ba3214d3c0e0bd292f78eb7b25c7b0700e59081a9c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8207a9cc1d5db9e91d8907af696e504a0e5459b6186073cae8b33827cb8a0c60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-08-07T14:25:59Z",
    "title_canon_sha256": "638a0414e7be1a9a68b8ee13a6f61de4341e27143a2266c0f6d350234df0964f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1064",
    "kind": "arxiv",
    "version": 3
  }
}