Pith Number

pith:RGHSSJSN

pith:2012:RGHSSJSNZ32B5ITTVTHK33DD2D

not attested not anchored not stored refs pending

Monotone cellular automata in a random environment

Andrew Uzzell, B\'ela Bollob\'as, Paul Smith

arxiv:1204.3980 v4 · 2012-04-18 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RGHSSJSNZ32B5ITTVTHK33DD2D}

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	2026-05-18T01:01:29.704601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

898f29264dcef41ea273acceadec63d0ecef1c8f6a14132e4fc789184b639746

Aliases

arxiv: 1204.3980 · arxiv_version: 1204.3980v4 · doi: 10.48550/arxiv.1204.3980 · pith_short_12: RGHSSJSNZ32B · pith_short_16: RGHSSJSNZ32B5ITT · pith_short_8: RGHSSJSN

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/RGHSSJSNZ32B5ITTVTHK33DD2D \
  | 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: 898f29264dcef41ea273acceadec63d0ecef1c8f6a14132e4fc789184b639746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "256cdd5bf7b870951a6db242cab0d7e9c421acaa59dc4491139431c8848ac22b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-18T05:42:10Z",
    "title_canon_sha256": "ba59aa326cbad7bd611208b070dea15b40567d9d110a668c6654e3e90fc87c31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3980",
    "kind": "arxiv",
    "version": 4
  }
}