Pith Number

pith:5HJQZL5B

pith:2026:5HJQZL5BJGSHPUBA5EO5XBKH2Y

not attested not anchored not stored refs pending

Multiplicity for partially ordered sets

Gyula O.H. Katona, Yaping Mao

arxiv:2607.00456 v1 · 2026-07-01 · 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{5HJQZL5BJGSHPUBA5EO5XBKH2Y}

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	2026-07-02T01:17:43.956529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9d30cafa149a477d020e91ddb8547d612f76e6a7f453b404e59bcf57daa17c8

Aliases

arxiv: 2607.00456 · arxiv_version: 2607.00456v1 · doi: 10.48550/arxiv.2607.00456 · pith_short_12: 5HJQZL5BJGSH · pith_short_16: 5HJQZL5BJGSHPUBA · pith_short_8: 5HJQZL5B

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/5HJQZL5BJGSHPUBA5EO5XBKH2Y \
  | 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: e9d30cafa149a477d020e91ddb8547d612f76e6a7f453b404e59bcf57daa17c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84ed7bd74474a53aa7e8df246d67cc18c5b685043e6b63b085acaafc8f17f78f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-01T05:23:17Z",
    "title_canon_sha256": "67ec655e2766592a39394a450f14161437189abf25ded43f9dc54acf867e6857"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00456",
    "kind": "arxiv",
    "version": 1
  }
}