Pith Number

pith:Y3OMQW5Q

pith:2026:Y3OMQW5QMF76X7REOSWW2X7MYG

not attested not anchored not stored refs pending

A certified refinement and asymptotic analysis of the Kuznetsov-Sahinidis diameter bound for Lennard-Jones clusters

Guillaume Lecomte

arxiv:2607.09555 v1 · 2026-07-10 · math.OC · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3OMQW5QMF76X7REOSWW2X7MYG}

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	2026-07-13T01:20:20.050623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6dcc85bb0617febfe2474ad6d5fecc19f8cd955598e45f8af96ba2995389ccf

Aliases

arxiv: 2607.09555 · arxiv_version: 2607.09555v1 · doi: 10.48550/arxiv.2607.09555 · pith_short_12: Y3OMQW5QMF76 · pith_short_16: Y3OMQW5QMF76X7RE · pith_short_8: Y3OMQW5Q

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/Y3OMQW5QMF76X7REOSWW2X7MYG \
  | 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: c6dcc85bb0617febfe2474ad6d5fecc19f8cd955598e45f8af96ba2995389ccf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f19045f0caa16cff11e81a4badeebe31ef782f93264fca5357ff86f3372bb9f5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-10T16:02:02Z",
    "title_canon_sha256": "08d64ba7c4348cf3728138efe560b10019b7119802e0b549ea2da3c62e7dbd30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09555",
    "kind": "arxiv",
    "version": 1
  }
}