Pith Number

pith:QJK2C54G

pith:2009:QJK2C54GKCMQRKN7IPAM4MZTQM

not attested not anchored not stored refs pending

On (2,3)-agreeable Box Societies

Meg Lippincott, Michael Abrahams, Thierry Zell

arxiv:0908.3692 v1 · 2009-08-25 · 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{QJK2C54GKCMQRKN7IPAM4MZTQM}

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	2026-05-18T03:51:36.270635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8255a17786509908a9bf43c0ce3333833530c146a9df66926d3425da02870cfa

Aliases

arxiv: 0908.3692 · arxiv_version: 0908.3692v1 · doi: 10.48550/arxiv.0908.3692 · pith_short_12: QJK2C54GKCMQ · pith_short_16: QJK2C54GKCMQRKN7 · pith_short_8: QJK2C54G

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/QJK2C54GKCMQRKN7IPAM4MZTQM \
  | 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: 8255a17786509908a9bf43c0ce3333833530c146a9df66926d3425da02870cfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df6b6d2c198e1ebf76eac24a54383011d395d9135c649a1d00cbdfae6bda96ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-08-25T21:32:50Z",
    "title_canon_sha256": "d98ee51f3cd331d5ae758eb5a465d19c2842baa4a9d834f398c9fb7eb7e2bcff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3692",
    "kind": "arxiv",
    "version": 1
  }
}