Pith Number

pith:IPQVTEKX

pith:2013:IPQVTEKXUKUI236YEBBWIXWHWN

not attested not anchored not stored refs pending

Critical probabilities and convergence time of Percolation Probabilistic Cellular Automata

Lorenzo Taggi

arxiv:1312.6990 v5 · 2013-12-25 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPQVTEKXUKUI236YEBBWIXWHWN}

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	2026-05-18T02:07:32.107425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43e1599157a2a88d6fd82043645ec7b3553a1b11ba15f36890ed5d893666c18b

Aliases

arxiv: 1312.6990 · arxiv_version: 1312.6990v5 · doi: 10.48550/arxiv.1312.6990 · pith_short_12: IPQVTEKXUKUI · pith_short_16: IPQVTEKXUKUI236Y · pith_short_8: IPQVTEKX

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/IPQVTEKXUKUI236YEBBWIXWHWN \
  | 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: 43e1599157a2a88d6fd82043645ec7b3553a1b11ba15f36890ed5d893666c18b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "391fce85607b9dd15f7fb49dc621502c87708d25f7408277416a9870734a042f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-25T17:57:51Z",
    "title_canon_sha256": "dd454cbb25bc67eb9ace556a074e207c0ce201e20ed8e30518d498bfde7ddcd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6990",
    "kind": "arxiv",
    "version": 5
  }
}