Pith Number

pith:PBLS333P

pith:2013:PBLS333P5GKUIOSRL57KYUZDXQ

not attested not anchored not stored refs pending

Condensation in stochastic particle systems with stationary product measures

Paul Chleboun, Stefan Grosskinsky

arxiv:1306.3587 v2 · 2013-06-15 · cond-mat.stat-mech · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBLS333P5GKUIOSRL57KYUZDXQ}

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	2026-05-18T02:58:46.037786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78572def6fe995443a515f7eac5323bc1ca6d306debd523f9dd57bbea4008f63

Aliases

arxiv: 1306.3587 · arxiv_version: 1306.3587v2 · doi: 10.48550/arxiv.1306.3587 · pith_short_12: PBLS333P5GKU · pith_short_16: PBLS333P5GKUIOSR · pith_short_8: PBLS333P

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/PBLS333P5GKUIOSRL57KYUZDXQ \
  | 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: 78572def6fe995443a515f7eac5323bc1ca6d306debd523f9dd57bbea4008f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78f6cdfca42131b36fc61f95396e17abdaba153ed60bd60994aab62773a4eb96",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-06-15T15:34:18Z",
    "title_canon_sha256": "9c38c9205b022e1d1f28b0482fc4cbc098a90ff6a25cd45b0a2f850e3812cef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3587",
    "kind": "arxiv",
    "version": 2
  }
}