Pith Number

pith:WCLBWNBS

pith:2008:WCLBWNBST5UP5RNXSIYLAQRZH3

not attested not anchored not stored refs pending

Exciting Hard Spheres

P. L. Krapivsky, S. Redner, T. Antal

arxiv:0805.3783 v1 · 2008-05-25 · physics.flu-dyn · cond-mat.stat-mech · physics.gen-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{WCLBWNBST5UP5RNXSIYLAQRZH3}

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	2026-05-18T01:32:42.217284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0961b34329f68fec5b79230b042393ef029acc24fdc8500a8d609d703206d64

Aliases

arxiv: 0805.3783 · arxiv_version: 0805.3783v1 · doi: 10.48550/arxiv.0805.3783 · pith_short_12: WCLBWNBST5UP · pith_short_16: WCLBWNBST5UP5RNX · pith_short_8: WCLBWNBS

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/WCLBWNBST5UP5RNXSIYLAQRZH3 \
  | 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: b0961b34329f68fec5b79230b042393ef029acc24fdc8500a8d609d703206d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8bf6530dfe7163d8b9e6b49528e1b56d3398050bb9a01e66ee9811d1e9d5831",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.gen-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2008-05-25T05:16:11Z",
    "title_canon_sha256": "8124f2d7e79393f501a2b2898a1f5b24a32cc01d82c067c89ac624b1e3d8c6ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3783",
    "kind": "arxiv",
    "version": 1
  }
}