Pith Number

pith:NOAF6XSM

pith:2017:NOAF6XSMAIXL3R65EAGSEZNZ3E

not attested not anchored not stored refs pending

On pointwise periodicity in tilings, cellular automata and subshifts

Tom Meyerovitch, Ville Salo

arxiv:1703.10013 v2 · 2017-03-29 · 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{NOAF6XSMAIXL3R65EAGSEZNZ3E}

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	2026-05-18T00:41:17.791850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b805f5e4c022ebdc7dd200d2265b9d91734a326b1f7a277bc7ce608985e46fc

Aliases

arxiv: 1703.10013 · arxiv_version: 1703.10013v2 · doi: 10.48550/arxiv.1703.10013 · pith_short_12: NOAF6XSMAIXL · pith_short_16: NOAF6XSMAIXL3R65 · pith_short_8: NOAF6XSM

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/NOAF6XSMAIXL3R65EAGSEZNZ3E \
  | 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: 6b805f5e4c022ebdc7dd200d2265b9d91734a326b1f7a277bc7ce608985e46fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a3806335c626c1846471a7f08b4d7fb7f55bf38277d29565f873f7813dcd3a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-03-29T12:54:37Z",
    "title_canon_sha256": "17484f9231975992a76ac283414520f851f4fd45758d0308a4431bceaef8803c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10013",
    "kind": "arxiv",
    "version": 2
  }
}