Pith Number

pith:S2GEC35M

pith:2018:S2GEC35MI5BRSRDWVR5AL4FBMV

not attested not anchored not stored refs pending

A generalization of the Bollob\'as set pairs inequality

Jacques Verstraete, Jason O'Neill

arxiv:1812.00537 v2 · 2018-12-03 · 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{S2GEC35MI5BRSRDWVR5AL4FBMV}

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	2026-07-05T01:08:22.283460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

968c416fac4743194476ac7a05f0a16548e25fac707d195e4055ffa4d861b4b9

Aliases

arxiv: 1812.00537 · arxiv_version: 1812.00537v2 · doi: 10.48550/arxiv.1812.00537 · pith_short_12: S2GEC35MI5BR · pith_short_16: S2GEC35MI5BRSRDW · pith_short_8: S2GEC35M

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/S2GEC35MI5BRSRDWVR5AL4FBMV \
  | 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: 968c416fac4743194476ac7a05f0a16548e25fac707d195e4055ffa4d861b4b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "123c8e21ef9c3de6b4c4965116a0a79cee1d2f3890bc7ee433ee00c11bb2ae7f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-03T03:18:32Z",
    "title_canon_sha256": "4f1a386f1532975b4f99494750e93084b59a93be87b36c07e07a0ba4494ca190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00537",
    "kind": "arxiv",
    "version": 2
  }
}