Pith Number

pith:NKAFYQ35

pith:2003:NKAFYQ35JENMSZF4AUVH4UUL2K

not attested not anchored not stored refs pending

Some properties of cellular automata with equicontinuity points

Francois Blanchard, Pierre Tisseur

arxiv:math/0312137 v1 · 2003-12-06 · math.DS · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKAFYQ35JENMSZF4AUVH4UUL2K}

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	2026-05-18T01:38:28.674877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a805c437d491ac964bc052a7e528bd2823831b4595ce40552f326023e6879a5

Aliases

arxiv: math/0312137 · arxiv_version: math/0312137v1 · doi: 10.48550/arxiv.math/0312137 · pith_short_12: NKAFYQ35JENM · pith_short_16: NKAFYQ35JENMSZF4 · pith_short_8: NKAFYQ35

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/NKAFYQ35JENMSZF4AUVH4UUL2K \
  | 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: 6a805c437d491ac964bc052a7e528bd2823831b4595ce40552f326023e6879a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e35a5394193c8f053419f28be883efa2be6d740c32dd22d9897a568e27cdbd4f",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2003-12-06T07:43:46Z",
    "title_canon_sha256": "8613210e374bcc5c0e4c797ce35c1586bdb346f6ac1fd0666b43a05617975ef2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312137",
    "kind": "arxiv",
    "version": 1
  }
}