Pith Number

pith:XFMW2QE7

pith:2006:XFMW2QE7TJY3VOEQV4E7D3L6EG

not attested not anchored not stored refs pending

Density of periodic points, invariant measures and almost equicontinuous points of cellular automata

Pierre Tisseur (CMCC)

arxiv:math/0608240 v2 · 2006-08-10 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFMW2QE7TJY3VOEQV4E7D3L6EG}

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	2026-05-18T03:51:59.167874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9596d409f9a71bab890af09f1ed7e2197041906aaf56718c251e4db642835f9

Aliases

arxiv: math/0608240 · arxiv_version: math/0608240v2 · doi: 10.48550/arxiv.math/0608240 · pith_short_12: XFMW2QE7TJY3 · pith_short_16: XFMW2QE7TJY3VOEQ · pith_short_8: XFMW2QE7

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/XFMW2QE7TJY3VOEQV4E7D3L6EG \
  | 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: b9596d409f9a71bab890af09f1ed7e2197041906aaf56718c251e4db642835f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3844ef832271e41d7b97044ab668eef7d9694d4735fa8cb6ab75069857c8714",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2006-08-10T06:50:14Z",
    "title_canon_sha256": "0fc948be7d46a5cacc3732e7d68624c7b901f7d6c05d315cd2b31c8b84cd81cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608240",
    "kind": "arxiv",
    "version": 2
  }
}