Pith Number

pith:TH35WCOL

pith:2019:TH35WCOLTURBK5XGTHKQ3LXNF3

not attested not anchored not stored refs pending

Discrepancy of minimal Riesz energy points

Albert Mas, Jordi Marzo

arxiv:1907.04814 v1 · 2019-07-10 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TH35WCOLTURBK5XGTHKQ3LXNF3}

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.

Cited by

1 paper in Pith

A Wasserstein Inequality and Minimal Green Energy on Compact Manifolds

Receipt and verification

First computed	2026-05-17T23:40:56.635440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99f7db09cb9d221576e699d50daeed2efe1cba15bb224611ab4e755acdbb0363

Aliases

arxiv: 1907.04814 · arxiv_version: 1907.04814v1 · doi: 10.48550/arxiv.1907.04814 · pith_short_12: TH35WCOLTURB · pith_short_16: TH35WCOLTURBK5XG · pith_short_8: TH35WCOL

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/TH35WCOLTURBK5XGTHKQ3LXNF3 \
  | 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: 99f7db09cb9d221576e699d50daeed2efe1cba15bb224611ab4e755acdbb0363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b511888097d4d831a105a806a66ac726c957256db5a688400f895c3e2b89c208",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-10T16:24:14Z",
    "title_canon_sha256": "2ccc21568bb3a94a9f2dd009d36320a29b137d453dbc8e63f5ed03eebba4e083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04814",
    "kind": "arxiv",
    "version": 1
  }
}