Pith Number

pith:DRMY5HPZ

pith:2017:DRMY5HPZMAKS5QESKQ6YYSKNAW

not attested not anchored not stored refs pending

Note on the union-closed sets conjecture

Abigail Raz

arxiv:1704.07022 v1 · 2017-04-24 · 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{DRMY5HPZMAKS5QESKQ6YYSKNAW}

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	2026-05-18T00:45:54.967218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c598e9df960152ec092543d8c494d058a3ba4632ed81de624a4eb4a442352fe

Aliases

arxiv: 1704.07022 · arxiv_version: 1704.07022v1 · doi: 10.48550/arxiv.1704.07022 · pith_short_12: DRMY5HPZMAKS · pith_short_16: DRMY5HPZMAKS5QES · pith_short_8: DRMY5HPZ

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/DRMY5HPZMAKS5QESKQ6YYSKNAW \
  | 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: 1c598e9df960152ec092543d8c494d058a3ba4632ed81de624a4eb4a442352fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed5cedd5286ef7863caabc183fa68ce2c50b575758d12befd8cb15160f41f3e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-24T03:08:08Z",
    "title_canon_sha256": "12287021aa6518d6f50a1ba854c37d7f2c462218eb2e4b8ad60c4ac47e9031b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07022",
    "kind": "arxiv",
    "version": 1
  }
}