Pith Number

pith:GKTTZU2A

pith:2016:GKTTZU2AJAADGTOZHFBKU75MIR

not attested not anchored not stored refs pending

A generalization of hall's theorem for k-uniform k-partite hypergraphs

Reza Jafarpour-Golzari

arxiv:1605.02972 v1 · 2016-05-10 · 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{GKTTZU2AJAADGTOZHFBKU75MIR}

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	2026-05-18T01:03:26.472521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a73cd3404800334dd93942aa7fac4462ee65f218723087e135000ff707e881

Aliases

arxiv: 1605.02972 · arxiv_version: 1605.02972v1 · doi: 10.48550/arxiv.1605.02972 · pith_short_12: GKTTZU2AJAAD · pith_short_16: GKTTZU2AJAADGTOZ · pith_short_8: GKTTZU2A

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/GKTTZU2AJAADGTOZHFBKU75MIR \
  | 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: 32a73cd3404800334dd93942aa7fac4462ee65f218723087e135000ff707e881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ecf95c71a91a6cd5385325f0fa316d2d445c8eb7f4c768e8588dc9e50e47f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-10T12:20:28Z",
    "title_canon_sha256": "16c574b40eb50f1f228d330471f3014c661ed465f434be3ee8cd9f45f1fd7e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02972",
    "kind": "arxiv",
    "version": 1
  }
}