Pith Number

pith:BFPGGGVJ

pith:2017:BFPGGGVJR5FJKQ3QN2AL3G74UA

not attested not anchored not stored refs pending

Perfect fractional matchings in k-out hypergraphs

Jeff Kahn, Pat Devlin

arxiv:1703.03513 v1 · 2017-03-10 · 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{BFPGGGVJR5FJKQ3QN2AL3G74UA}

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	2026-05-18T00:48:58.925006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

095e631aa98f4a9543706e80bd9bfca030e61daae52903a5d0bdad28aab2d501

Aliases

arxiv: 1703.03513 · arxiv_version: 1703.03513v1 · doi: 10.48550/arxiv.1703.03513 · pith_short_12: BFPGGGVJR5FJ · pith_short_16: BFPGGGVJR5FJKQ3Q · pith_short_8: BFPGGGVJ

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/BFPGGGVJR5FJKQ3QN2AL3G74UA \
  | 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: 095e631aa98f4a9543706e80bd9bfca030e61daae52903a5d0bdad28aab2d501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "712d66842c40ec18bc18bfeac8e954bab73af26a51ccd70b9fc902113f4525db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-10T01:54:01Z",
    "title_canon_sha256": "307511a7bf9d54b470445c0ac2321a91ddd0220beca2f3f1e2b725909328c58a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03513",
    "kind": "arxiv",
    "version": 1
  }
}