Pith Number

pith:BPHOONDL

pith:2017:BPHOONDL2B3M376AKSPB2SCD42

not attested not anchored not stored refs pending

Kneser graphs are like Swiss cheese

Ehud Friedgut, Oded Regev

arxiv:1702.04073 v2 · 2017-02-14 · 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{BPHOONDL2B3M376AKSPB2SCD42}

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	2026-05-18T00:25:29.200825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bcee7346bd076cdffc0549e1d4843e6ad632b4246a9c5582e4f5c3e5091b078

Aliases

arxiv: 1702.04073 · arxiv_version: 1702.04073v2 · doi: 10.48550/arxiv.1702.04073 · pith_short_12: BPHOONDL2B3M · pith_short_16: BPHOONDL2B3M376A · pith_short_8: BPHOONDL

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/BPHOONDL2B3M376AKSPB2SCD42 \
  | 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: 0bcee7346bd076cdffc0549e1d4843e6ad632b4246a9c5582e4f5c3e5091b078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b660df8a695e3988065bb61905cbd7f5ec231135e451d3c78f155cc118b10a70",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-14T04:10:49Z",
    "title_canon_sha256": "f34f80445409a27138f43d3aa8fe9159267e53938b32a480d9b2017964f4c136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04073",
    "kind": "arxiv",
    "version": 2
  }
}