Pith Number

pith:5JJQEUYT

pith:2016:5JJQEUYT3W6RMQQFZOGGIX3EV2

not attested not anchored not stored refs pending

On the Complexity of the Word Problem for Automaton Semigroups and Automaton Groups

Daniele D'Angeli, Emanuele Rodaro, Jan Philipp W\"achter

arxiv:1611.09541 v2 · 2016-11-29 · cs.FL · cs.CC · 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{5JJQEUYT3W6RMQQFZOGGIX3EV2}

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	2026-05-18T00:41:20.935121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea53025313ddbd164205cb8c645f64aea6704d35bfe6e6a14e0a3e9e4a48eb9e

Aliases

arxiv: 1611.09541 · arxiv_version: 1611.09541v2 · doi: 10.48550/arxiv.1611.09541 · pith_short_12: 5JJQEUYT3W6R · pith_short_16: 5JJQEUYT3W6RMQQF · pith_short_8: 5JJQEUYT

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/5JJQEUYT3W6RMQQFZOGGIX3EV2 \
  | 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: ea53025313ddbd164205cb8c645f64aea6704d35bfe6e6a14e0a3e9e4a48eb9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dc005f57a7096d3568f12aa09769507f61c9c727b7b57c81f319470548243e7",
    "cross_cats_sorted": [
      "cs.CC",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2016-11-29T09:52:40Z",
    "title_canon_sha256": "f38305289925d3bfd10ca728e64bba7ddd2065e13400747e4ad6258ee2b2de41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09541",
    "kind": "arxiv",
    "version": 2
  }
}