Pith Number

pith:PTYCFAH6

pith:2011:PTYCFAH6TLD3TZNLL7SZJC37B5

not attested not anchored not stored refs pending

On the Maximum Number of Edges in a Hypergraph with a Unique Perfect Matching

Andrzej Dudek, Deepak Bal, Zelealem B. Yilma

arxiv:1104.3158 v3 · 2011-04-15 · 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{PTYCFAH6TLD3TZNLL7SZJC37B5}

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	2026-05-18T04:18:35.649059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cf02280fe9ac7b9e5ab5fe5948b7f0f58e5c250b059d0d35a00fe2572d70c19

Aliases

arxiv: 1104.3158 · arxiv_version: 1104.3158v3 · doi: 10.48550/arxiv.1104.3158 · pith_short_12: PTYCFAH6TLD3 · pith_short_16: PTYCFAH6TLD3TZNL · pith_short_8: PTYCFAH6

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/PTYCFAH6TLD3TZNLL7SZJC37B5 \
  | 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: 7cf02280fe9ac7b9e5ab5fe5948b7f0f58e5c250b059d0d35a00fe2572d70c19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "013c3758fb36ee3fd807086eb351cb02a30445d1ebb112c55604c25154b22e8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-15T21:01:59Z",
    "title_canon_sha256": "96aad91b4364d9a6e85acea5adb5c353dd6ab2f3e48b367f8851008194b59d06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3158",
    "kind": "arxiv",
    "version": 3
  }
}