Pith Number

pith:5IMFLEOR

pith:2013:5IMFLEORNHZAGZBFAZNW3PSB4I

not attested not anchored not stored refs pending

Square Property, Equitable Partitions, and Product-like Graphs

Lydia Ostermeier, Marc Hellmuth, Peter F. Stadler

arxiv:1301.6898 v2 · 2013-01-29 · cs.DM · 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{5IMFLEORNHZAGZBFAZNW3PSB4I}

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	2026-05-18T02:47:53.135329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea185591d169f2036425065b6dbe41e23cc84647179d124f8d34129eb1e5f559

Aliases

arxiv: 1301.6898 · arxiv_version: 1301.6898v2 · doi: 10.48550/arxiv.1301.6898 · pith_short_12: 5IMFLEORNHZA · pith_short_16: 5IMFLEORNHZAGZBF · pith_short_8: 5IMFLEOR

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/5IMFLEORNHZAGZBFAZNW3PSB4I \
  | 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: ea185591d169f2036425065b6dbe41e23cc84647179d124f8d34129eb1e5f559

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f22140894f09f13acaee4059a3f0312cbc219f33a52546ff0abc2d47bd44cd08",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-01-29T11:38:47Z",
    "title_canon_sha256": "ff48ad70ecebbfb9a4aaf3b6312dbccc5dfc40fa48f1fc2e8d71ccb84916571e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6898",
    "kind": "arxiv",
    "version": 2
  }
}