Pith Number

pith:HUOMWWBX

pith:2011:HUOMWWBXZOQJ4S55U24ENYN7GH

not attested not anchored not stored refs pending

Minimal weight in union-closed families

Victor Falgas--Ravry

arxiv:1101.2589 v1 · 2011-01-13 · 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{HUOMWWBXZOQJ4S55U24ENYN7GH}

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	2026-05-18T03:32:45.723968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d1ccb5837cba09e4bbda6b846e1bf31c97c4af16fb4d603ccb7605425302e0a

Aliases

arxiv: 1101.2589 · arxiv_version: 1101.2589v1 · doi: 10.48550/arxiv.1101.2589 · pith_short_12: HUOMWWBXZOQJ · pith_short_16: HUOMWWBXZOQJ4S55 · pith_short_8: HUOMWWBX

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/HUOMWWBXZOQJ4S55U24ENYN7GH \
  | 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: 3d1ccb5837cba09e4bbda6b846e1bf31c97c4af16fb4d603ccb7605425302e0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07423d6d4386becaa6d21d72e3d031f0c693daa0c85116ee0e4ddfe9878c13a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-13T15:41:05Z",
    "title_canon_sha256": "5c4533a1a825890c50034da712363a46d1c83746c9911ed3b97056a87ee0bdcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2589",
    "kind": "arxiv",
    "version": 1
  }
}