Pith Number

pith:LJB2PPYO

pith:2026:LJB2PPYOW6GWJN7AHAAZMSXMH5

not attested not anchored not stored refs pending

Even smaller universal posets

J\'ozsef Balogh, Marcelo Sales, Ramon I. Garcia

arxiv:2607.12980 v1 · 2026-07-14 · 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{LJB2PPYOW6GWJN7AHAAZMSXMH5}

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	2026-07-15T01:22:28.834787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a43a7bf0eb78d64b7e03801964aec3f4ac07978c815c5e61c7f16e5efeb0d89

Aliases

arxiv: 2607.12980 · arxiv_version: 2607.12980v1 · doi: 10.48550/arxiv.2607.12980 · pith_short_12: LJB2PPYOW6GW · pith_short_16: LJB2PPYOW6GWJN7A · pith_short_8: LJB2PPYO

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/LJB2PPYOW6GWJN7AHAAZMSXMH5 \
  | 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: 5a43a7bf0eb78d64b7e03801964aec3f4ac07978c815c5e61c7f16e5efeb0d89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "892480ccb90d115a142ee93d838429e375a68c122aceeeeb2df48750b29d55c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-14T17:22:26Z",
    "title_canon_sha256": "923cc005a79f53c2f40666e9164f1098cd4eaa20c72f9c474e5e2a593a0ecf6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12980",
    "kind": "arxiv",
    "version": 1
  }
}