Pith Number

pith:LGDOJVUU

pith:2018:LGDOJVUU6WO2U2WOMQQDBHFTHX

not attested not anchored not stored refs pending

The Diamond ensemble: a constructive set of points with small logarithmic energy

Carlos Beltr\'an, Uju\'e Etayo

arxiv:1809.09416 v1 · 2018-09-25 · 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{LGDOJVUU6WO2U2WOMQQDBHFTHX}

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	2026-05-18T00:04:53.443637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5986e4d694f59daa6ace6420309cb33dec4b813f3f21507aae22e734c0795e9b

Aliases

arxiv: 1809.09416 · arxiv_version: 1809.09416v1 · doi: 10.48550/arxiv.1809.09416 · pith_short_12: LGDOJVUU6WO2 · pith_short_16: LGDOJVUU6WO2U2WO · pith_short_8: LGDOJVUU

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/LGDOJVUU6WO2U2WOMQQDBHFTHX \
  | 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: 5986e4d694f59daa6ace6420309cb33dec4b813f3f21507aae22e734c0795e9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "339363c92887a8d7cd9d849ec69c7ee51ba660e9f21085be36c791164a22d702",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-09-25T11:43:50Z",
    "title_canon_sha256": "6db209b995dfeb902c0a9f5ed2b8b98c61fa273b749c72b4b68e4a6410fe2067"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09416",
    "kind": "arxiv",
    "version": 1
  }
}