Pith Number

pith:HRHYKFN7

pith:2012:HRHYKFN7MVEMFTZPR3Q5JW6GMD

not attested not anchored not stored refs pending

On the existence of 3-way k-homogeneous Latin trades

Behrooz Bagheri Gh., Diane Donovan, E. S. Mahmoodian

arxiv:1207.1969 v1 · 2012-07-09 · 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{HRHYKFN7MVEMFTZPR3Q5JW6GMD}

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	2026-05-18T03:51:26.451302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c4f8515bf6548c2cf2f8ee1d4dbc660e966baccb5661c80430b9a41cf6b82ce

Aliases

arxiv: 1207.1969 · arxiv_version: 1207.1969v1 · doi: 10.48550/arxiv.1207.1969 · pith_short_12: HRHYKFN7MVEM · pith_short_16: HRHYKFN7MVEMFTZP · pith_short_8: HRHYKFN7

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/HRHYKFN7MVEMFTZPR3Q5JW6GMD \
  | 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: 3c4f8515bf6548c2cf2f8ee1d4dbc660e966baccb5661c80430b9a41cf6b82ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b18a1d9d107e460c97e4ebd1e4fdc53fbbfac183fe7fcceb42865809d8f1ce8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-09T07:21:14Z",
    "title_canon_sha256": "7d2f9864a3387004892cd7628580c6a7cbb26817c17f1ba5b2a5b427c1111f15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1969",
    "kind": "arxiv",
    "version": 1
  }
}