Pith Number

pith:COB22ZQL

pith:2010:COB22ZQLJN2EQQGPGSG2QBQUSP

not attested not anchored not stored refs pending

Negative bases and automata

Anna Chiara Lai, Christiane Frougny

arxiv:1012.3721 v1 · 2010-12-16 · cs.FL · cs.DM · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{COB22ZQLJN2EQQGPGSG2QBQUSP}

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	2026-05-18T04:33:05.771595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1383ad660b4b744840cf348da8061493e3f4fcdd3773f29b45b9342e69c8c802

Aliases

arxiv: 1012.3721 · arxiv_version: 1012.3721v1 · doi: 10.48550/arxiv.1012.3721 · pith_short_12: COB22ZQLJN2E · pith_short_16: COB22ZQLJN2EQQGP · pith_short_8: COB22ZQL

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/COB22ZQLJN2EQQGPGSG2QBQUSP \
  | 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: 1383ad660b4b744840cf348da8061493e3f4fcdd3773f29b45b9342e69c8c802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "474324eb9063bd45d9c7a5209f592b7723d29a5df501dec0d41c345502c31542",
    "cross_cats_sorted": [
      "cs.DM",
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2010-12-16T19:11:02Z",
    "title_canon_sha256": "0ca2bdae1d53a13571b450248887f3f2d4ee34320f309b068c3facc7cd31949d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3721",
    "kind": "arxiv",
    "version": 1
  }
}