Pith Number

pith:BWKI4XSU

pith:2016:BWKI4XSUS4NT4UBOMTNEFG6XBN

not attested not anchored not stored refs pending

Some properties and applications of odd-colorable $r$-hypergraphs

Chen Ouyang, Jiayu Shao, Liqun Qi, Xiying Yuan

arxiv:1606.05045 v4 · 2016-06-16 · 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{BWKI4XSUS4NT4UBOMTNEFG6XBN}

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	2026-05-18T01:06:24.155247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d948e5e54971b3e502e64da429bd70b6408b0a79d8e9c6f58fcd1f7995af18a

Aliases

arxiv: 1606.05045 · arxiv_version: 1606.05045v4 · doi: 10.48550/arxiv.1606.05045 · pith_short_12: BWKI4XSUS4NT · pith_short_16: BWKI4XSUS4NT4UBO · pith_short_8: BWKI4XSU

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/BWKI4XSUS4NT4UBOMTNEFG6XBN \
  | 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: 0d948e5e54971b3e502e64da429bd70b6408b0a79d8e9c6f58fcd1f7995af18a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4dd7050bc79be971851863633b99cad4e6680a76affc983902af78f980a97a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-16T03:59:56Z",
    "title_canon_sha256": "51b5df7ca7ffd3e3a99b76b864d3eaafdc1e9236f01dc44790db54034980a802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05045",
    "kind": "arxiv",
    "version": 4
  }
}