Pith Number

pith:YVKA7DY3

pith:2013:YVKA7DY3FEMPMEMBFOYKDPHAFJ

not attested not anchored not stored refs pending

$\mu$-Limit Sets of Cellular Automata from a Computational Complexity Perspective

Guillaume Theyssier (LAMA), Laurent Boyer (SAMM), Martin Delacourt (CMM), Mathieu Sablik (LATP), Victor Poupet (LIRMM)

arxiv:1309.6730 v2 · 2013-09-26 · cs.DM · cs.FL · nlin.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVKA7DY3FEMPMEMBFOYKDPHAFJ}

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	2026-05-18T01:41:58.240903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5540f8f1b2918f611812bb0a1bce02a4a949edbfb1fc0ef36c28cd43e553f05

Aliases

arxiv: 1309.6730 · arxiv_version: 1309.6730v2 · doi: 10.48550/arxiv.1309.6730 · pith_short_12: YVKA7DY3FEMP · pith_short_16: YVKA7DY3FEMPMEMB · pith_short_8: YVKA7DY3

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/YVKA7DY3FEMPMEMBFOYKDPHAFJ \
  | 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: c5540f8f1b2918f611812bb0a1bce02a4a949edbfb1fc0ef36c28cd43e553f05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89261d4899589f7ce98e91d6a6e0895557b37ea879751c7ec430f4a7c6f60240",
    "cross_cats_sorted": [
      "cs.FL",
      "nlin.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-09-26T06:30:59Z",
    "title_canon_sha256": "02e7f7082f0e07bbbaecc626b0fa495d14c69c42a80fda0f6f7174ad0cb3225c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6730",
    "kind": "arxiv",
    "version": 2
  }
}