Pith Number

pith:UUGWPMQI

pith:2019:UUGWPMQIVEGYQI6W5N4E2XYFQJ

not attested not anchored not stored refs pending

Uniqueness and characterization of local minimizers for the interaction energy with mildly repulsive potentials

Geuntaek Seo, Hwa Kil Kim, Kyungkeun Kang, Tongseok Lim

arxiv:1907.07004 v3 · 2019-07-16 · math.PR · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUGWPMQIVEGYQI6W5N4E2XYFQJ}

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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

Energy on spheres and discreteness of minimizing measures

Receipt and verification

First computed	2026-07-04T23:51:05.761879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a50d67b208a90d8823d6eb784d5f05824617ac3d4faae11fb36dc8551d1bc3ed

Aliases

arxiv: 1907.07004 · arxiv_version: 1907.07004v3 · doi: 10.48550/arxiv.1907.07004 · pith_short_12: UUGWPMQIVEGY · pith_short_16: UUGWPMQIVEGYQI6W · pith_short_8: UUGWPMQI

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/UUGWPMQIVEGYQI6W5N4E2XYFQJ \
  | 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: a50d67b208a90d8823d6eb784d5f05824617ac3d4faae11fb36dc8551d1bc3ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64defb1f316e384a4f8329b091f01775c32d5ab3a9d088c2d13a44ef3c981c8f",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-16T13:53:28Z",
    "title_canon_sha256": "e168c5f7d482f6f5e199a23c8f311858c5b2756ae7948586a1380fbe242ccd26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07004",
    "kind": "arxiv",
    "version": 3
  }
}