Pith Number

pith:4T5MEQED

pith:2015:4T5MEQEDQJ2MZ3CAKD3QQLU6WK

not attested not anchored not stored refs pending

The spectral gap and the dynamical critical exponent of an exact solvable probabilistic cellular automaton

A. A. Ferreira, F. C. Alcaraz, M. J. Lazo

arxiv:1507.03552 v1 · 2015-07-13 · 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{4T5MEQEDQJ2MZ3CAKD3QQLU6WK}

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	2026-05-18T01:36:58.562418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4fac240838274ccec4050f7082e9eb2b2e2baa7c1588c30d25d4084475f0782

Aliases

arxiv: 1507.03552 · arxiv_version: 1507.03552v1 · doi: 10.48550/arxiv.1507.03552 · pith_short_12: 4T5MEQEDQJ2M · pith_short_16: 4T5MEQEDQJ2MZ3CA · pith_short_8: 4T5MEQED

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/4T5MEQEDQJ2MZ3CAKD3QQLU6WK \
  | 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: e4fac240838274ccec4050f7082e9eb2b2e2baa7c1588c30d25d4084475f0782

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce3c8dacd151ae27638c1453df17cdb82e0d52ec80de5f209f73f00a95229854",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-07-13T19:04:01Z",
    "title_canon_sha256": "080742f7c57d4b8ef842a888c845e6ef45d9b5a44b47c7964e111ec7c0144059"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03552",
    "kind": "arxiv",
    "version": 1
  }
}