Pith Number

pith:X5KJKUN6

pith:2011:X5KJKUN6E7LLOYL32KNA44GIUI

not attested not anchored not stored refs pending

Quasi-uniformity of Minimal Weighted Energy Points on Compact Metric Spaces

D. P. Hardin, E. B. Saff, J. T. Whitehouse

arxiv:1104.2911 v4 · 2011-04-14 · math-ph · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5KJKUN6E7LLOYL32KNA44GIUI}

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	2026-05-18T04:07:54.109974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf549551be27d6b7617bd29a0e70c8a23f2dd0a4b8800a0a5ac4e37a7616e60f

Aliases

arxiv: 1104.2911 · arxiv_version: 1104.2911v4 · doi: 10.48550/arxiv.1104.2911 · pith_short_12: X5KJKUN6E7LL · pith_short_16: X5KJKUN6E7LLOYL3 · pith_short_8: X5KJKUN6

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/X5KJKUN6E7LLOYL32KNA44GIUI \
  | 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: bf549551be27d6b7617bd29a0e70c8a23f2dd0a4b8800a0a5ac4e37a7616e60f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "667dee482a4020d7d12825c4334cafae9577f7bff20deb92a332dc4eed55fded",
    "cross_cats_sorted": [
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-14T20:11:11Z",
    "title_canon_sha256": "d4f3063bf8248ac88552397ea8578cf8b4b0c63de0571ffeec1090d5aa5f00a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2911",
    "kind": "arxiv",
    "version": 4
  }
}