Pith Number

pith:MEDK7OAC

pith:2010:MEDK7OACIRLTHAUYP4CAYX6ZJZ

not attested not anchored not stored refs pending

Groups defined by automata

Laurent Bartholdi, Pedro V. Silva

arxiv:1012.1531 v1 · 2010-12-07 · cs.FL · cs.DM · 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{MEDK7OACIRLTHAUYP4CAYX6ZJZ}

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	2026-05-18T02:23:14.575706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6106afb80244573382987f040c5fd94e42abb8ddf2f7ed8dc7ccd6bc0cc74859

Aliases

arxiv: 1012.1531 · arxiv_version: 1012.1531v1 · doi: 10.48550/arxiv.1012.1531 · pith_short_12: MEDK7OACIRLT · pith_short_16: MEDK7OACIRLTHAUY · pith_short_8: MEDK7OAC

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/MEDK7OACIRLTHAUYP4CAYX6ZJZ \
  | 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: 6106afb80244573382987f040c5fd94e42abb8ddf2f7ed8dc7ccd6bc0cc74859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0c19459557865f8be55b00c4b990a96217d6490f3971933505a368bc894fdc7",
    "cross_cats_sorted": [
      "cs.DM",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2010-12-07T15:18:36Z",
    "title_canon_sha256": "514581a2e5d2ff877b4ca0b921815650e6784efe40c68231721358cb31e5b747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1531",
    "kind": "arxiv",
    "version": 1
  }
}