Pith Number

pith:HHMOKHXU

pith:2015:HHMOKHXUYPUUJ54Z2PYJ7AHSTT

not attested not anchored not stored refs pending

Sun's log-concavity conjecture on the Catalan-Larcombe-French sequence

James J.Y. Zhao

arxiv:1505.06650 v2 · 2015-05-25 · 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{HHMOKHXUYPUUJ54Z2PYJ7AHSTT}

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	2026-05-18T02:03:32.033034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d8e51ef4c3e944f799d3f09f80f29ce8376b12c6b2ee82b31cee45b94b9b33

Aliases

arxiv: 1505.06650 · arxiv_version: 1505.06650v2 · doi: 10.48550/arxiv.1505.06650 · pith_short_12: HHMOKHXUYPUU · pith_short_16: HHMOKHXUYPUUJ54Z · pith_short_8: HHMOKHXU

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/HHMOKHXUYPUUJ54Z2PYJ7AHSTT \
  | 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: 39d8e51ef4c3e944f799d3f09f80f29ce8376b12c6b2ee82b31cee45b94b9b33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3eb05c443cefb9e09e7a8479a9480fa5933276b00af58e769560b00dc81817c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-25T14:43:03Z",
    "title_canon_sha256": "8a614432386ae35fb7ecb1ed54edf8957a3de13827234c6cbc95c4f2e9025902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06650",
    "kind": "arxiv",
    "version": 2
  }
}