Pith Number

pith:XZXVQ2XD

pith:2011:XZXVQ2XDPEBDMME6XLA5V6FUEZ

not attested not anchored not stored refs pending

Optimal Discrete Riesz Energy and Discrepancy

J. S. Brauchart

arxiv:1103.3088 v1 · 2011-03-16 · 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{XZXVQ2XDPEBDMME6XLA5V6FUEZ}

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	2026-05-18T02:59:06.742089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be6f586ae3790236309ebac1daf8b4266c0eb5181372164cc86c5c89c8361a73

Aliases

arxiv: 1103.3088 · arxiv_version: 1103.3088v1 · doi: 10.48550/arxiv.1103.3088 · pith_short_12: XZXVQ2XDPEBD · pith_short_16: XZXVQ2XDPEBDMME6 · pith_short_8: XZXVQ2XD

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/XZXVQ2XDPEBDMME6XLA5V6FUEZ \
  | 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: be6f586ae3790236309ebac1daf8b4266c0eb5181372164cc86c5c89c8361a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7798a2ce448be7afe3bbb545e1ab14f0944f0513d7ef75080c357740c148ec64",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-16T03:52:35Z",
    "title_canon_sha256": "63ae735ca20406a129d6e0534a854d5ef2720055556e0459440e0dabc5a3e82a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3088",
    "kind": "arxiv",
    "version": 1
  }
}