Pith Number

pith:7NR4C53G

pith:2015:7NR4C53GHAOGHK32D7CDBXQ6J3

not attested not anchored not stored refs pending

Analogues of a Fibonacci-Lucas Identity

Gaurav Bhatnagar

arxiv:1510.03159 v3 · 2015-10-12 · 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{7NR4C53GHAOGHK32D7CDBXQ6J3}

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	2026-05-18T01:09:42.093161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb63c17766381c63ab7a1fc430de1e4ef99db4f8ca8432b383efd98a57c51607

Aliases

arxiv: 1510.03159 · arxiv_version: 1510.03159v3 · doi: 10.48550/arxiv.1510.03159 · pith_short_12: 7NR4C53GHAOG · pith_short_16: 7NR4C53GHAOGHK32 · pith_short_8: 7NR4C53G

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/7NR4C53GHAOGHK32D7CDBXQ6J3 \
  | 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: fb63c17766381c63ab7a1fc430de1e4ef99db4f8ca8432b383efd98a57c51607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1709adb4554ed989bed0cdb270082ea4f2f749c3561ceeb64d0a9a01b7b6e7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-12T06:58:17Z",
    "title_canon_sha256": "11ff64a9e56e55c693aea9ad0b942df2e919e7f6a3cb43e49ab421cc03b1c3da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03159",
    "kind": "arxiv",
    "version": 3
  }
}