Pith Number

pith:C36CAKC7

pith:2017:C36CAKC7MZRQCCEVPS7E4EKN3V

not attested not anchored not stored refs pending

The Emptiness Problem for Valence Automata over Graph Monoids

Georg Zetzsche

arxiv:1710.07528 v1 · 2017-10-20 · cs.FL · cs.LO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C36CAKC7MZRQCCEVPS7E4EKN3V}

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	2026-05-18T00:32:24.606700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16fc20285f66630108957cbe4e114ddd4a175d189f8b4c4b785065e4626ea022

Aliases

arxiv: 1710.07528 · arxiv_version: 1710.07528v1 · doi: 10.48550/arxiv.1710.07528 · pith_short_12: C36CAKC7MZRQ · pith_short_16: C36CAKC7MZRQCCEV · pith_short_8: C36CAKC7

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/C36CAKC7MZRQCCEVPS7E4EKN3V \
  | 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: 16fc20285f66630108957cbe4e114ddd4a175d189f8b4c4b785065e4626ea022

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c690d4ad99fc802c84da9cab52c9b130fb294d380a08e40726aa09f879c682f",
    "cross_cats_sorted": [
      "cs.LO",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2017-10-20T13:44:30Z",
    "title_canon_sha256": "68b99eefb6a235bbedbc477d36b766c1a88e29fd90b6605a86563502bf49e788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07528",
    "kind": "arxiv",
    "version": 1
  }
}