Pith Number

pith:WQTKOJMZ

pith:2012:WQTKOJMZH5N3QIIWEFU6U54HUJ

not attested not anchored not stored refs pending

Exact minimum degree thresholds for perfect matchings in uniform hypergraphs II

Andrew Treglown, Yi Zhao

arxiv:1210.7359 v1 · 2012-10-27 · 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{WQTKOJMZH5N3QIIWEFU6U54HUJ}

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	2026-05-18T03:42:10.295662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b426a725993f5bb821162169ea7787a254244cc741a10a07fc96913f3f5d1e30

Aliases

arxiv: 1210.7359 · arxiv_version: 1210.7359v1 · doi: 10.48550/arxiv.1210.7359 · pith_short_12: WQTKOJMZH5N3 · pith_short_16: WQTKOJMZH5N3QIIW · pith_short_8: WQTKOJMZ

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/WQTKOJMZH5N3QIIWEFU6U54HUJ \
  | 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: b426a725993f5bb821162169ea7787a254244cc741a10a07fc96913f3f5d1e30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72fe2aefede641d3a9c8cf553bef4ae34ba96aeb249774813f8ca7957ccec4e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-27T18:47:52Z",
    "title_canon_sha256": "2e5161efadcc50ab3feee01b4820e55a39c8c2471222dd30f761180c3c12734d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7359",
    "kind": "arxiv",
    "version": 1
  }
}