Pith Number

pith:RM4YIDI5

pith:2015:RM4YIDI5KA2U42B4D4PTI3C54C

not attested not anchored not stored refs pending

Introducing Lyapunov profiles of cellular automata

Janko Gravner, Jan M. Baetens

arxiv:1509.06639 v1 · 2015-09-22 · math.DS · nlin.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RM4YIDI5KA2U42B4D4PTI3C54C}

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	2026-05-18T01:32:19.711733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b39840d1d50354e683c1f1f346c5de08b9e63b46cd287a41489a264a71a4c55

Aliases

arxiv: 1509.06639 · arxiv_version: 1509.06639v1 · doi: 10.48550/arxiv.1509.06639 · pith_short_12: RM4YIDI5KA2U · pith_short_16: RM4YIDI5KA2U42B4 · pith_short_8: RM4YIDI5

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/RM4YIDI5KA2U42B4D4PTI3C54C \
  | 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: 8b39840d1d50354e683c1f1f346c5de08b9e63b46cd287a41489a264a71a4c55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d18c023a5b17302b99fd3915d2c81c19091ebc54e8a54f0ed3f2d47f7460c09",
    "cross_cats_sorted": [
      "nlin.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-22T15:20:11Z",
    "title_canon_sha256": "4a6a6175c59b0ee94387fde82ecf59317e6ba15c68cbad244749f98e560c53f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06639",
    "kind": "arxiv",
    "version": 1
  }
}