Pith Number

pith:MPA7FXTW

pith:2016:MPA7FXTWPFVO7V5ZKA4KT2YM7S

not attested not anchored not stored refs pending

Reversibility Problem of Multidimensional Finite Cellular Automata

Chih-Hung Chang, Hasan Ak{\i}n

arxiv:1609.09572 v3 · 2016-09-30 · math.DS · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPA7FXTWPFVO7V5ZKA4KT2YM7S}

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	2026-05-18T00:43:59.922614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c1f2de76796aefd7b95038a9eb0cfcb1674e9e40d6e175cc306fd1d5683654

Aliases

arxiv: 1609.09572 · arxiv_version: 1609.09572v3 · doi: 10.48550/arxiv.1609.09572 · pith_short_12: MPA7FXTWPFVO · pith_short_16: MPA7FXTWPFVO7V5Z · pith_short_8: MPA7FXTW

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/MPA7FXTWPFVO7V5ZKA4KT2YM7S \
  | 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: 63c1f2de76796aefd7b95038a9eb0cfcb1674e9e40d6e175cc306fd1d5683654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "434810c85d9e9d3043731a71bdb4678a715e33faf694e24203052cac060b8b8a",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-30T02:38:01Z",
    "title_canon_sha256": "9536c92bb4a6b567934874a0dc9abd06abe1a6946a2b055ade935ad31f98ee50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09572",
    "kind": "arxiv",
    "version": 3
  }
}