Pith Number

pith:HHOK3SRY

pith:2005:HHOK3SRYYYOIJDJDCBDYEMJWXJ

not attested not anchored not stored refs pending

Competition between growths governed by Bernoulli Percolation

Olivier Garet (MAPMO), R\'egine Marchand (IEC)

arxiv:math/0507133 v1 · 2005-07-07 · 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{HHOK3SRYYYOIJDJDCBDYEMJWXJ}

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	2026-05-18T01:08:51.011700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39dcadca38c61c848d231047823136ba7551623663f59077dceaa1a877719cd7

Aliases

arxiv: math/0507133 · arxiv_version: math/0507133v1 · doi: 10.48550/arxiv.math/0507133 · pith_short_12: HHOK3SRYYYOI · pith_short_16: HHOK3SRYYYOIJDJD · pith_short_8: HHOK3SRY

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/HHOK3SRYYYOIJDJDCBDYEMJWXJ \
  | 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: 39dcadca38c61c848d231047823136ba7551623663f59077dceaa1a877719cd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81f20b9bb46346d678e322483583cdc5aadf7ba5137297ea72f184bdba752c60",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-07-07T07:44:15Z",
    "title_canon_sha256": "aa9f14f20a093bb9b0cd5771508c302350abcad454e1344b17993d676dad7395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507133",
    "kind": "arxiv",
    "version": 1
  }
}