Pith Number

pith:SYE4VLBU

pith:2019:SYE4VLBUI7MSDSTUKNF5MILPET

not attested not anchored not stored refs pending

On the separation distance of minimal Green energy points on compact Riemannian manifolds

Juan G. Criado del Rey

arxiv:1901.00779 v1 · 2019-01-03 · math.DG · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYE4VLBUI7MSDSTUKNF5MILPET}

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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

2 papers in Pith

An equilibrium problem on the sphere with two equal charges

A Wasserstein Inequality and Minimal Green Energy on Compact Manifolds

Receipt and verification

First computed	2026-05-17T23:57:01.278046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9609caac3447d921ca74534bd6216f24fbc8d3954c1623cca5beb8ba526c7eca

Aliases

arxiv: 1901.00779 · arxiv_version: 1901.00779v1 · doi: 10.48550/arxiv.1901.00779 · pith_short_12: SYE4VLBUI7MS · pith_short_16: SYE4VLBUI7MSDSTU · pith_short_8: SYE4VLBU

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/SYE4VLBUI7MSDSTUKNF5MILPET \
  | 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: 9609caac3447d921ca74534bd6216f24fbc8d3954c1623cca5beb8ba526c7eca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a25136e032a90fd5ac57ca8fe909a562091e221fb2c7624962e845b2519c719",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-01-03T14:58:21Z",
    "title_canon_sha256": "28c02683ba5f67efafb773639109fb99c4f2dc5e4ecae772429290d054a276c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00779",
    "kind": "arxiv",
    "version": 1
  }
}