Pith Number

pith:PGD7K3EC

pith:2018:PGD7K3ECXPTXMFN5DRL7SDXHVK

not attested not anchored not stored refs pending

Structure and enumeration results of matchable Lucas cubes

Haiyuan Yao, Xu Wang, Xuxu Zhao

arxiv:1810.07329 v3 · 2018-10-17 · 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{PGD7K3ECXPTXMFN5DRL7SDXHVK}

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	2026-05-17T23:52:15.408893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7987f56c82bbe77615bd1c57f90ee7aa9a0ec27791273ad85bd7e50c895be2cd

Aliases

arxiv: 1810.07329 · arxiv_version: 1810.07329v3 · doi: 10.48550/arxiv.1810.07329 · pith_short_12: PGD7K3ECXPTX · pith_short_16: PGD7K3ECXPTXMFN5 · pith_short_8: PGD7K3EC

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/PGD7K3ECXPTXMFN5DRL7SDXHVK \
  | 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: 7987f56c82bbe77615bd1c57f90ee7aa9a0ec27791273ad85bd7e50c895be2cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b64977c7909f18f96d199a7079996d5d22a5b67bbb025754aebe440e12b7ae6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-17T00:30:21Z",
    "title_canon_sha256": "75fc30e17fa1d8555119903361897d9ac7ba7d2055ece5ec12ef72e37c2ad39e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07329",
    "kind": "arxiv",
    "version": 3
  }
}