Pith Number

pith:VYZVBZVU

pith:2016:VYZVBZVU2PFN5GX4B4QWGT5Y32

not attested not anchored not stored refs pending

Generating Point Configurations via Hypersingular Riesz Energy With an External Field

D. P. Hardin, E. B. Saff, O. V. Vlasiuk

arxiv:1605.03840 v2 · 2016-05-10 · math.CA · 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{VYZVBZVU2PFN5GX4B4QWGT5Y32}

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	2026-05-18T01:02:30.609329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae3350e6b4d3cade9afc0f21634fb8de958cadfa3c21173b99de218660a64fd9

Aliases

arxiv: 1605.03840 · arxiv_version: 1605.03840v2 · doi: 10.48550/arxiv.1605.03840 · pith_short_12: VYZVBZVU2PFN · pith_short_16: VYZVBZVU2PFN5GX4 · pith_short_8: VYZVBZVU

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/VYZVBZVU2PFN5GX4B4QWGT5Y32 \
  | 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: ae3350e6b4d3cade9afc0f21634fb8de958cadfa3c21173b99de218660a64fd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6ea4c75111637d49fdcb94ea5ac6bd3e338c125ff7bd900867cca3faac932af",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-10T18:32:17Z",
    "title_canon_sha256": "103a1bf46a37416c4aaaa626f6813fbb03552601f759b27b5ff7072fd27ddb5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03840",
    "kind": "arxiv",
    "version": 2
  }
}