Pith Number

pith:MP34VJAS

pith:2009:MP34VJASCUH4TARBTI56KAHOPK

not attested not anchored not stored refs pending

On the reversibility and the closed image property of linear cellular automata

Michel Coornaert, Tullio Ceccherini-Silberstein

arxiv:0910.0863 v2 · 2009-10-05 · math.GR · 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{MP34VJASCUH4TARBTI56KAHOPK}

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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	2026-05-18T04:13:07.162241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f7caa412150fc982219a3be500ee7a8151d2d35dc3284623ba61cdccfd50b7

Aliases

arxiv: 0910.0863 · arxiv_version: 0910.0863v2 · doi: 10.48550/arxiv.0910.0863 · pith_short_12: MP34VJASCUH4 · pith_short_16: MP34VJASCUH4TARB · pith_short_8: MP34VJAS

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/MP34VJASCUH4TARBTI56KAHOPK \
  | 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: 63f7caa412150fc982219a3be500ee7a8151d2d35dc3284623ba61cdccfd50b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a741aaca268db61479b89f0a908e120eb1c026afc88b7320f3da5c0b05beacc",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-10-05T20:55:25Z",
    "title_canon_sha256": "91cbf9084756f9578e85eae9e60226dba86e741f4d40b786e3210e0cd46bf6f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0863",
    "kind": "arxiv",
    "version": 2
  }
}