Pith Number

pith:WTC3TV2C

pith:2011:WTC3TV2C6W6CDOZG73WOM3SBGZ

not attested not anchored not stored refs pending

A one-dimensional coagulation-fragmentation process with a dynamical phase transition

Cedric Bernardin (UMPA-ENSL), Fabio Lucio Toninelli (Phys-ENS)

arxiv:1107.3227 v2 · 2011-07-16 · math.PR · 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{WTC3TV2C6W6CDOZG73WOM3SBGZ}

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	2026-05-18T03:06:13.886179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4c5b9d742f5bc21bb26feece66e41367be4a25d0b81a570132adce7dc586070

Aliases

arxiv: 1107.3227 · arxiv_version: 1107.3227v2 · doi: 10.48550/arxiv.1107.3227 · pith_short_12: WTC3TV2C6W6C · pith_short_16: WTC3TV2C6W6CDOZG · pith_short_8: WTC3TV2C

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/WTC3TV2C6W6CDOZG73WOM3SBGZ \
  | 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: b4c5b9d742f5bc21bb26feece66e41367be4a25d0b81a570132adce7dc586070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "733235403808534e6b0138df2e18db9e8798868b3176bf947ec4ffaf92d13f30",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-16T12:57:25Z",
    "title_canon_sha256": "d4f324631dd75f4999d6692edd7bdf055375c50efab7aa8510afe9a8d6ca8b55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3227",
    "kind": "arxiv",
    "version": 2
  }
}