Pith Number

pith:5YX525FX

pith:2016:5YX525FX3IOPA6ZGYJW2DQ42OP

not attested not anchored not stored refs pending

Reversibility of Linear Cellular Automata on Cayley Trees with Periodic Boundary Condition

Chih-Hung Chang, Jing-Yi Su

arxiv:1603.01679 v2 · 2016-03-05 · 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{5YX525FX3IOPA6ZGYJW2DQ42OP}

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	2026-05-18T00:53:08.468512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee2fdd74b7da1cf07b26c26da1c39a73f44b5bd13693f5c6657939707a47d128

Aliases

arxiv: 1603.01679 · arxiv_version: 1603.01679v2 · doi: 10.48550/arxiv.1603.01679 · pith_short_12: 5YX525FX3IOP · pith_short_16: 5YX525FX3IOPA6ZG · pith_short_8: 5YX525FX

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/5YX525FX3IOPA6ZGYJW2DQ42OP \
  | 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: ee2fdd74b7da1cf07b26c26da1c39a73f44b5bd13693f5c6657939707a47d128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a056df6551946c08796a3d278aade2b295b6274376a1cbed8d3ea4f41282e398",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-05T05:03:54Z",
    "title_canon_sha256": "21bd07513cb7c0211dec6ea68e9d97855266f11ee598e52b68a4beb821d38546"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01679",
    "kind": "arxiv",
    "version": 2
  }
}