Pith Number

pith:KJ7KRXXL

pith:2019:KJ7KRXXLFDRHSUDNEQ6QYLAS7X

not attested not anchored not stored refs pending

Isodiametry, variance, and regular simplices from particle interactions

Robert J McCann, Tongseok Lim

arxiv:1907.13593 v4 · 2019-07-31 · math-ph · math.AP · math.MP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJ7KRXXLFDRHSUDNEQ6QYLAS7X}

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

Energy on spheres and discreteness of minimizing measures

Receipt and verification

First computed	2026-07-05T06:53:27.229395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

527ea8deeb28e279506d243d0c2c12fdf2da9f04fc1daec80da9862b4290abaf

Aliases

arxiv: 1907.13593 · arxiv_version: 1907.13593v4 · doi: 10.48550/arxiv.1907.13593 · pith_short_12: KJ7KRXXLFDRH · pith_short_16: KJ7KRXXLFDRHSUDN · pith_short_8: KJ7KRXXL

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/KJ7KRXXLFDRHSUDNEQ6QYLAS7X \
  | 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: 527ea8deeb28e279506d243d0c2c12fdf2da9f04fc1daec80da9862b4290abaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d53b320c8ce6e5c46fc52e8381aa2de0a9c014746e102cded7f24b0db0e4340",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-07-31T16:51:45Z",
    "title_canon_sha256": "b4d7c9c40c532377437565c086f0316b9c99d19a7e61daa3690def99be48fcad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.13593",
    "kind": "arxiv",
    "version": 4
  }
}