Pith Number

pith:33JZ7YCX

pith:2016:33JZ7YCXLXUTVHLK3KICKOILRT

not attested not anchored not stored refs pending

The Sch\"utzenberger product for syntactic spaces

Daniela Petrisan, Luca Reggio, Mai Gehrke

arxiv:1603.08264 v1 · 2016-03-27 · cs.LO · cs.FL · math.GN · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33JZ7YCXLXUTVHLK3KICKOILRT}

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	2026-05-18T01:18:12.692139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded39fe0575de93a9d6ada9025390b8ced4cb274ca5d309c4774ab292fdc8b20

Aliases

arxiv: 1603.08264 · arxiv_version: 1603.08264v1 · doi: 10.48550/arxiv.1603.08264 · pith_short_12: 33JZ7YCXLXUT · pith_short_16: 33JZ7YCXLXUTVHLK · pith_short_8: 33JZ7YCX

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/33JZ7YCXLXUTVHLK3KICKOILRT \
  | 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: ded39fe0575de93a9d6ada9025390b8ced4cb274ca5d309c4774ab292fdc8b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0576e35c3081a95d5c6a34b5b288d3236c2850a97d476c08c030077ed5e127ee",
    "cross_cats_sorted": [
      "cs.FL",
      "math.GN",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-03-27T22:27:49Z",
    "title_canon_sha256": "ad5635133307c927f2eac79a72249abae9fbed52b3299a09f84b49716bc44a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08264",
    "kind": "arxiv",
    "version": 1
  }
}