Pith Number

pith:7VBD3I6K

pith:2017:7VBD3I6KE7WGNA5QBAF64OOJ2P

not attested not anchored not stored refs pending

Decidability problems in automaton semigroups

Laurent Bartholdi

arxiv:1705.04598 v1 · 2017-05-11 · math.GR · cs.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{7VBD3I6KE7WGNA5QBAF64OOJ2P}

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	2026-05-18T00:44:15.216438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd423da3ca27ec6683b0080bee39c9d3d17390f88bf26bdf3e96a4eead2f64bb

Aliases

arxiv: 1705.04598 · arxiv_version: 1705.04598v1 · doi: 10.48550/arxiv.1705.04598 · pith_short_12: 7VBD3I6KE7WG · pith_short_16: 7VBD3I6KE7WGNA5Q · pith_short_8: 7VBD3I6K

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/7VBD3I6KE7WGNA5QBAF64OOJ2P \
  | 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: fd423da3ca27ec6683b0080bee39c9d3d17390f88bf26bdf3e96a4eead2f64bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32c37244d5f5ccc4bc3805cd3bcb00c039cc48f62b01b61800371556f5880884",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-11T09:16:13Z",
    "title_canon_sha256": "ceb28f06f0ba9a58b44cc48a01c36ffa56d868040ffd84a13a2470823f12169f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04598",
    "kind": "arxiv",
    "version": 1
  }
}