Pith Number

pith:OSGGBEMJ

pith:2019:OSGGBEMJYSFK7UTUCHCC32QLWY

not attested not anchored not stored refs pending

Energy on spheres and discreteness of minimizing measures

Alexey Glazyrin, Dmitriy Bilyk, Josiah Park, Oleksandr Vlasiuk, Ryan Matzke

arxiv:1908.10354 v1 · 2019-08-27 · math.CA · math-ph · math.MG · math.MP

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\usepackage{pith}
\pithnumber{OSGGBEMJYSFK7UTUCHCC32QLWY}

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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

Optimal measures for p-frame energies on spheres

Receipt and verification

First computed	2026-07-05T00:00:11.325331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

748c609189c48aafd27411c42dea0bb6150f42d6b1e63d34d869679a07457f79

Aliases

arxiv: 1908.10354 · arxiv_version: 1908.10354v1 · doi: 10.48550/arxiv.1908.10354 · pith_short_12: OSGGBEMJYSFK · pith_short_16: OSGGBEMJYSFK7UTU · pith_short_8: OSGGBEMJ

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/OSGGBEMJYSFK7UTUCHCC32QLWY \
  | 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: 748c609189c48aafd27411c42dea0bb6150f42d6b1e63d34d869679a07457f79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1617fee3f11ca424199d520d6f33768079d39c00aa05d93509f89896146fdcb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-27T17:51:03Z",
    "title_canon_sha256": "afa651e1febcb3cefb15543bf802771669e102db686d7ddcd74b761c87738933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10354",
    "kind": "arxiv",
    "version": 1
  }
}