Pith Number

pith:GZV54VDM

pith:2023:GZV54VDMDLR63CEJZ7HJMVBVCU

not attested not anchored not stored refs pending

Minimizers for an aggregation model with attractive-repulsive interaction

Rupert L. Frank, Ryan W. Matzke

arxiv:2307.13769 v3 · 2023-07-25 · math.AP · math-ph · math.CA · math.MP · 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{GZV54VDMDLR63CEJZ7HJMVBVCU}

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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

A family of explicit minimizers for interaction energies

Receipt and verification

First computed	2026-07-05T07:15:57.911089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

366bde546c1ae3ed8889cfce9654351520c7fa0f0f8153cfe479871603be94df

Aliases

arxiv: 2307.13769 · arxiv_version: 2307.13769v3 · doi: 10.48550/arxiv.2307.13769 · pith_short_12: GZV54VDMDLR6 · pith_short_16: GZV54VDMDLR63CEJ · pith_short_8: GZV54VDM

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/GZV54VDMDLR63CEJZ7HJMVBVCU \
  | 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: 366bde546c1ae3ed8889cfce9654351520c7fa0f0f8153cfe479871603be94df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26b55ae905d39bbf4a2b5d0044ec6ce43c5cf30df85780cc4fba9664f088fb5e",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-07-25T18:59:04Z",
    "title_canon_sha256": "c5bde1fd5601555ccbc2cd8b37baf380743873bb963144659293cae6160c58e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.13769",
    "kind": "arxiv",
    "version": 3
  }
}