Pith Number

pith:BWRSMEQD

pith:2012:BWRSMEQDXEKD4N77QOKCV3SFHI

not attested not anchored not stored refs pending

Improved lower bounds on book crossing numbers of complete graphs

Dmitrii V. Pasechnik, Etienne de Klerk, Gelasio Salazar

arxiv:1207.5701 v1 · 2012-07-24 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWRSMEQDXEKD4N77QOKCV3SFHI}

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	2026-05-18T02:37:59.046020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0da3261203b9143e37ff83942aee453a259ebf92454b7b4fce8280184b1c8067

Aliases

arxiv: 1207.5701 · arxiv_version: 1207.5701v1 · doi: 10.48550/arxiv.1207.5701 · pith_short_12: BWRSMEQDXEKD · pith_short_16: BWRSMEQDXEKD4N77 · pith_short_8: BWRSMEQD

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/BWRSMEQDXEKD4N77QOKCV3SFHI \
  | 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: 0da3261203b9143e37ff83942aee453a259ebf92454b7b4fce8280184b1c8067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1279108de1a923affbb4b9af7b004f004caf04159a877f4572910588f54b6126",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-24T13:51:52Z",
    "title_canon_sha256": "cd296112d03f72e0644c5ceec4ef748c58d91aca9dae68106ce811b5876a8ebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5701",
    "kind": "arxiv",
    "version": 1
  }
}