Pith Number

pith:IRFWHQKT

pith:2024:IRFWHQKTQFXDOZH75AMNJ2TVDB

not attested not anchored not stored refs pending

Non-trivial $r$-wise agreeing families

Andrey Kupavskii, Peter Frankl

arxiv:2404.14178 v3 · 2024-04-22 · 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{IRFWHQKTQFXDOZH75AMNJ2TVDB}

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	2026-07-05T09:46:28.379515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

444b63c153816e3764ffe818d4ea75185296e3245aacf0774f988db574bfe6cb

Aliases

arxiv: 2404.14178 · arxiv_version: 2404.14178v3 · doi: 10.48550/arxiv.2404.14178 · pith_short_12: IRFWHQKTQFXD · pith_short_16: IRFWHQKTQFXDOZH7 · pith_short_8: IRFWHQKT

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/IRFWHQKTQFXDOZH75AMNJ2TVDB \
  | 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: 444b63c153816e3764ffe818d4ea75185296e3245aacf0774f988db574bfe6cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2726628f9fec3886c8b9ac910528c7e66ffe0709cda2668b3c8f7de760cb70aa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-04-22T13:49:43Z",
    "title_canon_sha256": "7118d8d9bf038a15b1d65a118ad5e8afd26e9b4126d65dc06e1ba01aa79f1513"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.14178",
    "kind": "arxiv",
    "version": 3
  }
}