Pith Number

pith:SJZTFKN3

pith:2010:SJZTFKN3GTZKDEITRBQJLG6GZS

not attested not anchored not stored refs pending

Large B_d-free and union-free subfamilies

Bal\'azs Patk\'os, Ida Kantor, J\'anos Bar\'at, Younjin Kim, Zolt\'an F\"uredi

arxiv:1012.3918 v1 · 2010-12-17 · 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{SJZTFKN3GTZKDEITRBQJLG6GZS}

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	2026-05-18T04:33:03.648166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

927332a9bb34f2a191138860959bc6cc9f2feda38a5ae2a2a3fe6006650e188d

Aliases

arxiv: 1012.3918 · arxiv_version: 1012.3918v1 · doi: 10.48550/arxiv.1012.3918 · pith_short_12: SJZTFKN3GTZK · pith_short_16: SJZTFKN3GTZKDEIT · pith_short_8: SJZTFKN3

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/SJZTFKN3GTZKDEITRBQJLG6GZS \
  | 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: 927332a9bb34f2a191138860959bc6cc9f2feda38a5ae2a2a3fe6006650e188d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fb0a30ac994f5540f1f98fa3456bb9cd652e3fad4c7f450a13bf21139cce1ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-17T16:33:32Z",
    "title_canon_sha256": "09c58931f1020e756b9ae3ed18473692fc87c7fa3aa9f31621d2b8d56c556d82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3918",
    "kind": "arxiv",
    "version": 1
  }
}