Pith Number

pith:GKTC2EGO

pith:2014:GKTC2EGO54WX2RLRT6CJEBYZ5V

not attested not anchored not stored refs pending

On global minimizers of repulsive-attractive power-law interaction energies

Jos\'e Antonio Carrillo, Michel Chipot, Yanghong Huang

arxiv:1403.7420 v1 · 2014-03-28 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKTC2EGO54WX2RLRT6CJEBYZ5V}

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.

Receipt and verification

First computed	2026-05-18T01:43:44.296260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a62d10ceef2d7d45719f84920719ed7718518180b2afb0c1f8c3936a0ae004

Aliases

arxiv: 1403.7420 · arxiv_version: 1403.7420v1 · doi: 10.48550/arxiv.1403.7420 · pith_short_12: GKTC2EGO54WX · pith_short_16: GKTC2EGO54WX2RLR · pith_short_8: GKTC2EGO

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/GKTC2EGO54WX2RLRT6CJEBYZ5V \
  | 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: 32a62d10ceef2d7d45719f84920719ed7718518180b2afb0c1f8c3936a0ae004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da35b3ce6c0bb23ea9f49e54fe53e85e89cc46e100fb38592a31de338ed24e42",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-03-28T15:36:07Z",
    "title_canon_sha256": "f5dff376cc1b4cdc526d58ec95c86d61c3e715afb145193f3d63a391b189295c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7420",
    "kind": "arxiv",
    "version": 1
  }
}