Pith Number

pith:I7OC5IGI

pith:2023:I7OC5IGIQRXSXOSG7QRJFLNML7

not attested not anchored not stored refs pending

Variations on the Bollob\'as set-pair theorem

G\'abor Heged\"us, P\'eter Frankl

arxiv:2307.14704 v1 · 2023-07-27 · 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{I7OC5IGIQRXSXOSG7QRJFLNML7}

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	2026-07-05T06:35:16.926990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47dc2ea0c8846f2bba46fc2292adac5fddc689d970bc9b8d4e735435f8a57083

Aliases

arxiv: 2307.14704 · arxiv_version: 2307.14704v1 · doi: 10.48550/arxiv.2307.14704 · pith_short_12: I7OC5IGIQRXS · pith_short_16: I7OC5IGIQRXSXOSG · pith_short_8: I7OC5IGI

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/I7OC5IGIQRXSXOSG7QRJFLNML7 \
  | 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: 47dc2ea0c8846f2bba46fc2292adac5fddc689d970bc9b8d4e735435f8a57083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbbb8d6861006ccaa27a3d99d7518e021321ad77bf60d3cfa26a8e6840dfc113",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-27T08:51:50Z",
    "title_canon_sha256": "12fe562401a18e5339c5abb7088eac8e5b10bb4d33700cbf497428b6df9fc5a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.14704",
    "kind": "arxiv",
    "version": 1
  }
}