Pith Number

pith:XNDHS2MH

pith:2014:XNDHS2MHZWF5PPSL5TZJCRTQ5X

not attested not anchored not stored refs pending

A Tiling Proof of Binomial Identities related to the Lucas cube

Andrzej P. Kisielewicz

arxiv:1402.6961 v1 · 2014-02-27 · 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{XNDHS2MHZWF5PPSL5TZJCRTQ5X}

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	2026-05-18T02:57:36.506626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb46796987cd8bd7be4becf2914670edc234d0f010eb6792ad9a77d317581b2a

Aliases

arxiv: 1402.6961 · arxiv_version: 1402.6961v1 · doi: 10.48550/arxiv.1402.6961 · pith_short_12: XNDHS2MHZWF5 · pith_short_16: XNDHS2MHZWF5PPSL · pith_short_8: XNDHS2MH

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/XNDHS2MHZWF5PPSL5TZJCRTQ5X \
  | 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: bb46796987cd8bd7be4becf2914670edc234d0f010eb6792ad9a77d317581b2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a16b4db626561f7df67ab853286ce34545322269ea728078e2f88931d91ba4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-27T16:35:03Z",
    "title_canon_sha256": "273a64a3080d2d50e5fe2ab0492e20711c92e85be62ad6b7bef7253ad7959275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6961",
    "kind": "arxiv",
    "version": 1
  }
}