Pith Number

pith:J4P74ZTE

pith:2016:J4P74ZTEEJG3PZTMCOXHJUNWDK

not attested not anchored not stored refs pending

On tiling the integers with $4$-sets of the same gap sequence

Ilkyoo Choi, Junehyuk Jung, Minki Kim

arxiv:1605.03322 v1 · 2016-05-11 · 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{J4P74ZTEEJG3PZTMCOXHJUNWDK}

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	2026-05-18T01:15:05.667011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1ffe6664224db7e66c13ae74d1b61aaff91d3b83cbf0fa99dd9a89fa74ea81

Aliases

arxiv: 1605.03322 · arxiv_version: 1605.03322v1 · doi: 10.48550/arxiv.1605.03322 · pith_short_12: J4P74ZTEEJG3 · pith_short_16: J4P74ZTEEJG3PZTM · pith_short_8: J4P74ZTE

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/J4P74ZTEEJG3PZTMCOXHJUNWDK \
  | 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: 4f1ffe6664224db7e66c13ae74d1b61aaff91d3b83cbf0fa99dd9a89fa74ea81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbdc8a165426cc3c3566aa8b35f6c8dbb6f06a1184a8d451184b7646a6262680",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-11T08:18:44Z",
    "title_canon_sha256": "165cba3de143e658ab27f08967f4ce08d6aa00b863ebd2842a5c6def0fa19ec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03322",
    "kind": "arxiv",
    "version": 1
  }
}