Pith Number

pith:IXOQNE32

pith:2022:IXOQNE32DWZO4DSLA6QID3WPAR

not attested not anchored not stored refs pending

A non-uniform extension of Baranyai's Theorem

Hao Huang, Jie Ma, Jinye He

arxiv:2207.00277 v1 · 2022-07-01 · 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{IXOQNE32DWZO4DSLA6QID3WPAR}

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	2026-07-05T04:36:41.380517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45dd06937a1db2ee0e4b07a081eecf0472ebd405679d1605bebeeabfd69c66cb

Aliases

arxiv: 2207.00277 · arxiv_version: 2207.00277v1 · doi: 10.48550/arxiv.2207.00277 · pith_short_12: IXOQNE32DWZO · pith_short_16: IXOQNE32DWZO4DSL · pith_short_8: IXOQNE32

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/IXOQNE32DWZO4DSLA6QID3WPAR \
  | 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: 45dd06937a1db2ee0e4b07a081eecf0472ebd405679d1605bebeeabfd69c66cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "109953f46bcd827116180bf9e03736662c486af4a0d579dbfcecd9cdb3cbef0b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-07-01T09:08:40Z",
    "title_canon_sha256": "e2b5f52975106e2d3db6ef0c55a6fcde08044d582968a14e7c9ead6d7a3c4ea1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.00277",
    "kind": "arxiv",
    "version": 1
  }
}