Pith Number

pith:EDB3LJ52

pith:2012:EDB3LJ52L46HDL5TR4FQPMICE7

not attested not anchored not stored refs pending

Polarization optimality of equally spaced points on the circle for discrete potentials

A. P. Kendall, D. P. Hardin, E. B. Saff

arxiv:1208.5261 v3 · 2012-08-26 · 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{EDB3LJ52L46HDL5TR4FQPMICE7}

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	2026-05-18T03:04:49.907908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20c3b5a7ba5f3c71afb38f0b07b10227cceda1611152f654345c5a80e7cff397

Aliases

arxiv: 1208.5261 · arxiv_version: 1208.5261v3 · doi: 10.48550/arxiv.1208.5261 · pith_short_12: EDB3LJ52L46H · pith_short_16: EDB3LJ52L46HDL5T · pith_short_8: EDB3LJ52

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/EDB3LJ52L46HDL5TR4FQPMICE7 \
  | 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: 20c3b5a7ba5f3c71afb38f0b07b10227cceda1611152f654345c5a80e7cff397

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d94b530b81e70a4a2bd8cecf55220adc6d80a9a453acde6d1e64b2879c9332ff",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-26T23:06:03Z",
    "title_canon_sha256": "61cd0856802c3f9a12ebafef9045bf14ee3265633f38f94a7f280372931fe60d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5261",
    "kind": "arxiv",
    "version": 3
  }
}