Pith Number

pith:DHWA7JXY

pith:2011:DHWA7JXYXMO7HCWN5HLZJWNXWL

not attested not anchored not stored refs pending

Log-concavity of Lucas Sequences of first kind

Piero Giacomelli

arxiv:1101.1805 v4 · 2011-01-10 · 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{DHWA7JXYXMO7HCWN5HLZJWNXWL}

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	2026-05-18T04:27:17.602822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19ec0fa6f8bb1df38acde9d794d9b7b2e2d4a3ba4f3c5cc04fcb7434a8aa965d

Aliases

arxiv: 1101.1805 · arxiv_version: 1101.1805v4 · doi: 10.48550/arxiv.1101.1805 · pith_short_12: DHWA7JXYXMO7 · pith_short_16: DHWA7JXYXMO7HCWN · pith_short_8: DHWA7JXY

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/DHWA7JXYXMO7HCWN5HLZJWNXWL \
  | 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: 19ec0fa6f8bb1df38acde9d794d9b7b2e2d4a3ba4f3c5cc04fcb7434a8aa965d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf0d61a794fec180215a305e6e38db80c5c231de036f8ea759db7ef4f9db38f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-10T13:20:11Z",
    "title_canon_sha256": "d1478e058b5c459edd9e9f3222948ef38ae647c650ab14896de99a2e949e3498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1805",
    "kind": "arxiv",
    "version": 4
  }
}