Pith Number

pith:DFB3AYVW

pith:2001:DFB3AYVWDOIEWK7HRDIHX5IAJE

not attested not anchored not stored refs pending

Separating Geometric Thickness from Book Thickness

David Eppstein

arxiv:math/0109195 v1 · 2001-09-24 · math.CO · cs.CG · 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{DFB3AYVWDOIEWK7HRDIHX5IAJE}

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	2026-07-04T14:35:32.091136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1943b062b61b904b2be788d07bf500490f36e559c7319248c2da49e08509a083

Aliases

arxiv: math/0109195 · arxiv_version: math/0109195v1 · doi: 10.48550/arxiv.math/0109195 · pith_short_12: DFB3AYVWDOIE · pith_short_16: DFB3AYVWDOIEWK7H · pith_short_8: DFB3AYVW

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/DFB3AYVWDOIEWK7HRDIHX5IAJE \
  | 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: 1943b062b61b904b2be788d07bf500490f36e559c7319248c2da49e08509a083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce8513011015c1c3617eb1ad079b2b770988b7583655dd069b1bee7fdbca388",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2001-09-24T22:45:33Z",
    "title_canon_sha256": "5ea1c78395141e3c65e19f0176e2989063923ad6e77802b3a8b0e4ea3b2ea273"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0109195",
    "kind": "arxiv",
    "version": 1
  }
}