Pith Number

pith:KHGDTQKD

pith:2016:KHGDTQKDFQD6SOKYJNONQDR3G4

not attested not anchored not stored refs pending

The complexity of perfect matchings and packings in dense hypergraphs

Andrew Treglown, Jie Han

arxiv:1609.06147 v1 · 2016-09-20 · 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{KHGDTQKDFQD6SOKYJNONQDR3G4}

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	2026-05-18T01:04:16.519926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51cc39c1432c07e939584b5cd80e3b371ad66d4a929ee585cd9db4cd475d7058

Aliases

arxiv: 1609.06147 · arxiv_version: 1609.06147v1 · doi: 10.48550/arxiv.1609.06147 · pith_short_12: KHGDTQKDFQD6 · pith_short_16: KHGDTQKDFQD6SOKY · pith_short_8: KHGDTQKD

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/KHGDTQKDFQD6SOKYJNONQDR3G4 \
  | 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: 51cc39c1432c07e939584b5cd80e3b371ad66d4a929ee585cd9db4cd475d7058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5516281df66e461849e871209f2f0d821e83dc75b96e16294eb27586b865cd12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-20T13:11:10Z",
    "title_canon_sha256": "6d592190f6c20198afdb397919d6d8054fd3b2a682afd1d7bce081cfeee1d028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06147",
    "kind": "arxiv",
    "version": 1
  }
}