Pith Number

pith:D4OLDZJA

pith:2015:D4OLDZJARYS73LFVOMG6PKSXIW

not attested not anchored not stored refs pending

Quadratic forms representing the $p$-th Fibonacci number

Alberto Mendoza, Florian Luca, Pedro Berrizbeitia

arxiv:1502.04346 v1 · 2015-02-15 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4OLDZJARYS73LFVOMG6PKSXIW}

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	2026-05-18T02:26:59.923830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f1cb1e5208e25fdacb5730de7aa57458c2add674658cd3f1278db481d466cc0

Aliases

arxiv: 1502.04346 · arxiv_version: 1502.04346v1 · doi: 10.48550/arxiv.1502.04346 · pith_short_12: D4OLDZJARYS7 · pith_short_16: D4OLDZJARYS73LFV · pith_short_8: D4OLDZJA

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/D4OLDZJARYS73LFVOMG6PKSXIW \
  | 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: 1f1cb1e5208e25fdacb5730de7aa57458c2add674658cd3f1278db481d466cc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd21515cafe6bf9a85c78cef46f2b543f34a7db0dd98f580b759c58c889c6177",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-02-15T18:47:08Z",
    "title_canon_sha256": "2a86ae5af676ca84a490e0f7ba2faf6e54e3d3c308c9d0901acb8b32345d9461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04346",
    "kind": "arxiv",
    "version": 1
  }
}