Pith Number

pith:ORNC4HAQ

pith:2018:ORNC4HAQSAJ5MRWORJRW3FCAHT

not attested not anchored not stored refs pending

Set partitions without blocks of certain sizes

Andreas Weingartner, Joshua Culver

arxiv:1806.02316 v1 · 2018-06-06 · 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{ORNC4HAQSAJ5MRWORJRW3FCAHT}

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	2026-05-18T00:14:01.876625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

745a2e1c109013d646ce8a636d94403ce3b014f09c39825311aa34196e58d480

Aliases

arxiv: 1806.02316 · arxiv_version: 1806.02316v1 · doi: 10.48550/arxiv.1806.02316 · pith_short_12: ORNC4HAQSAJ5 · pith_short_16: ORNC4HAQSAJ5MRWO · pith_short_8: ORNC4HAQ

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/ORNC4HAQSAJ5MRWORJRW3FCAHT \
  | 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: 745a2e1c109013d646ce8a636d94403ce3b014f09c39825311aa34196e58d480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcd118cfce21849cf090621823046e5a23fef9e2dca16778acc8f602a3eecc03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-06T17:34:17Z",
    "title_canon_sha256": "5868b73925b22a2720edf298ca37cb37ee8b2c9ce28301233e69e78c9ab38486"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02316",
    "kind": "arxiv",
    "version": 1
  }
}