Pith Number

pith:NBXTWBRC

pith:2012:NBXTWBRCG534DGMITYCWD7TVNY

not attested not anchored not stored refs pending

Formalizing Frankl's Conjecture: FC-families

Bojan Vu\v{c}kovi\'c, Filip Mari\'c, Miodrag \v{Z}ivkovi\'c

arxiv:1207.3604 v1 · 2012-07-16 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBXTWBRCG534DGMITYCWD7TVNY}

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	2026-05-18T03:51:00.677643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

686f3b06223777c199889e0561fe756e26c8de4c7f53f6d2fbc24e01ad7c2f8c

Aliases

arxiv: 1207.3604 · arxiv_version: 1207.3604v1 · doi: 10.48550/arxiv.1207.3604 · pith_short_12: NBXTWBRCG534 · pith_short_16: NBXTWBRCG534DGMI · pith_short_8: NBXTWBRC

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/NBXTWBRCG534DGMITYCWD7TVNY \
  | 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: 686f3b06223777c199889e0561fe756e26c8de4c7f53f6d2fbc24e01ad7c2f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88ff1806ec14fa11355b065f1645103aed06bbe7f04cf66933fdd432ce0dd289",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-07-16T08:49:10Z",
    "title_canon_sha256": "96bd97dc9cdb9d4a5b8693b2863e647892fdddf57886735be3766940dcdedd17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3604",
    "kind": "arxiv",
    "version": 1
  }
}