Pith Number

pith:454W3L2Z

pith:2015:454W3L2ZTW4SP523E7BEQKGFRY

not attested not anchored not stored refs pending

New Conjectures for Union-Closed Families

Annie Raymond, Dirk Theis, Jonad Pulaj

arxiv:1512.00083 v2 · 2015-11-30 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{454W3L2ZTW4SP523E7BEQKGFRY}

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	2026-05-18T01:10:11.490382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7796daf599db927f75b27c24828c58e280be60cd680d2834d386cc615f3be3b

Aliases

arxiv: 1512.00083 · arxiv_version: 1512.00083v2 · doi: 10.48550/arxiv.1512.00083 · pith_short_12: 454W3L2ZTW4S · pith_short_16: 454W3L2ZTW4SP523 · pith_short_8: 454W3L2Z

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/454W3L2ZTW4SP523E7BEQKGFRY \
  | 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: e7796daf599db927f75b27c24828c58e280be60cd680d2834d386cc615f3be3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09d306f505387fe0623444bf8c9025a5d52c46090c375d8452110dd8b7bfabdd",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-30T23:06:05Z",
    "title_canon_sha256": "77fcab883ef40291c9c8f1abc2a1b7c042529cc2bb467d33711ad43301466b8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00083",
    "kind": "arxiv",
    "version": 2
  }
}