Pith Number

pith:33ZHON7X

pith:2012:33ZHON7X6KXY4SSSPTQXE7JW24

not attested not anchored not stored refs pending

Caterpillar dualities and regular languages

Claude Tardif, G\'abor Tardos, P\'eter L. Erd\H{o}s

arxiv:1203.1347 v1 · 2012-03-06 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33ZHON7X6KXY4SSSPTQXE7JW24}

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	2026-05-18T03:17:57.489562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

def27737f7f2af8e4a527ce1727d36d715e022f6891853263ef0d689472c38b3

Aliases

arxiv: 1203.1347 · arxiv_version: 1203.1347v1 · doi: 10.48550/arxiv.1203.1347 · pith_short_12: 33ZHON7X6KXY · pith_short_16: 33ZHON7X6KXY4SSS · pith_short_8: 33ZHON7X

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/33ZHON7X6KXY4SSSPTQXE7JW24 \
  | 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: def27737f7f2af8e4a527ce1727d36d715e022f6891853263ef0d689472c38b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fbc83a4e57a3d78b470ac462849a15c34de1c836825db3ceff9e142e6a6a400",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-06T22:52:58Z",
    "title_canon_sha256": "b7cc07e49ffa91a8fd70d4afa46e788d7c0f785b89fd5793f44492443c4f9710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1347",
    "kind": "arxiv",
    "version": 1
  }
}