Pith Number

pith:P3K6VNWZ

pith:2011:P3K6VNWZT7VBMCLHVKH5KYMLVT

not attested not anchored not stored refs pending

An Alternative Proof of the $H$-Factor Theorem

Hongliang Lu, Qinglin Yu

arxiv:1104.5113 v1 · 2011-04-27 · 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{P3K6VNWZT7VBMCLHVKH5KYMLVT}

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	2026-05-18T04:23:22.609496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ed5eab6d99fea160967aa8fd5618baccb93379ffe4356d6df3063e5663853c9

Aliases

arxiv: 1104.5113 · arxiv_version: 1104.5113v1 · doi: 10.48550/arxiv.1104.5113 · pith_short_12: P3K6VNWZT7VB · pith_short_16: P3K6VNWZT7VBMCLH · pith_short_8: P3K6VNWZ

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/P3K6VNWZT7VBMCLHVKH5KYMLVT \
  | 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: 7ed5eab6d99fea160967aa8fd5618baccb93379ffe4356d6df3063e5663853c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "923cc0c06ae748bb197fcf3570410a538e7912651e311dfdce860a5c9ca42960",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-27T11:06:19Z",
    "title_canon_sha256": "8b50bc3d8f8d3b2d3a1337667a56afe719d8e376ef969832280dd64d6c945f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5113",
    "kind": "arxiv",
    "version": 1
  }
}