Pith Number

pith:BEP6DU4X

pith:2013:BEP6DU4XOMKZKASAOF5I5UI7M6

not attested not anchored not stored refs pending

Branching random tessellations with interaction: A thermodynamic view

Christoph Th\"ale, Hans-Otto Georgii, Tomasz Schreiber

arxiv:1304.2572 v2 · 2013-04-09 · 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{BEP6DU4XOMKZKASAOF5I5UI7M6}

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	2026-05-18T01:33:34.146957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

091fe1d3977315950240717a8ed11f679c3421f71dd3056daaf5932e53950cbc

Aliases

arxiv: 1304.2572 · arxiv_version: 1304.2572v2 · doi: 10.48550/arxiv.1304.2572 · pith_short_12: BEP6DU4XOMKZ · pith_short_16: BEP6DU4XOMKZKASA · pith_short_8: BEP6DU4X

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/BEP6DU4XOMKZKASAOF5I5UI7M6 \
  | 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: 091fe1d3977315950240717a8ed11f679c3421f71dd3056daaf5932e53950cbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6d4d447cd52bf44eba765765f3b2c8d31c5d2015443f7ec580be352cb3d54cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-09T13:13:12Z",
    "title_canon_sha256": "beb6eb80cf4e201e66cb783027ba6b67c71cfa990d6692404e4b338100827246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2572",
    "kind": "arxiv",
    "version": 2
  }
}