Pith Number

pith:BMUF4DVO

pith:2011:BMUF4DVO3IE3XXGP2AB4VUB3EH

not attested not anchored not stored refs pending

No O(N) queries for checking if N intervals cover everything or for piercing N pairs of intervals. An O(N log N)-steps algorithm for piercing

Eliahu Levy, Meir Katchalski

arxiv:1109.2763 v1 · 2011-09-13 · math.CO · cs.CG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMUF4DVO3IE3XXGP2AB4VUB3EH}

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	2026-05-18T04:13:07.755458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b285e0eaeda09bbdccfd003cad03b21f0c62a32ddd8290771479d32f61855bf

Aliases

arxiv: 1109.2763 · arxiv_version: 1109.2763v1 · doi: 10.48550/arxiv.1109.2763 · pith_short_12: BMUF4DVO3IE3 · pith_short_16: BMUF4DVO3IE3XXGP · pith_short_8: BMUF4DVO

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/BMUF4DVO3IE3XXGP2AB4VUB3EH \
  | 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: 0b285e0eaeda09bbdccfd003cad03b21f0c62a32ddd8290771479d32f61855bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f59e7019938c7ec067b6b1c99e8e89e6e14a9a4d379495f2d2b5ddde9bee5229",
    "cross_cats_sorted": [
      "cs.CG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-13T12:50:26Z",
    "title_canon_sha256": "ae2975fb0885077e2433e559b900b0f5de87d489854ece4aa6b9693a3d9ff48e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2763",
    "kind": "arxiv",
    "version": 1
  }
}