Pith Number

pith:AV5VYWGL

pith:2013:AV5VYWGLCU5ER6AXDKPBM75DPN

not attested not anchored not stored refs pending

Groups and Semigroups Defined by Colorings of Synchronizing Automata

Daniele D'Angeli, Emanuele Rodaro

arxiv:1310.5242 v1 · 2013-10-19 · math.GR · cs.FL · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AV5VYWGLCU5ER6AXDKPBM75DPN}

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	2026-05-18T02:34:52.629927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

057b5c58cb153a48f8171a9e167fa37b4990c9eebe2e1714928ce7f2fb53303c

Aliases

arxiv: 1310.5242 · arxiv_version: 1310.5242v1 · doi: 10.48550/arxiv.1310.5242 · pith_short_12: AV5VYWGLCU5E · pith_short_16: AV5VYWGLCU5ER6AX · pith_short_8: AV5VYWGL

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/AV5VYWGLCU5ER6AXDKPBM75DPN \
  | 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: 057b5c58cb153a48f8171a9e167fa37b4990c9eebe2e1714928ce7f2fb53303c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43cb28fd09e07a6258877d049f89e8ccde7f1940eb7b383be8bb50dff146eac",
    "cross_cats_sorted": [
      "cs.FL",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-10-19T16:11:48Z",
    "title_canon_sha256": "dc831ba9766bb3746ae9a9264bf5cc0e2bd04571b503fcb2c295a13828e91dd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5242",
    "kind": "arxiv",
    "version": 1
  }
}