Pith Number

pith:BUS4KSYE

pith:2012:BUS4KSYEMJRRFEDS6ROCRRYMPS

not attested not anchored not stored refs pending

Dimensionality of Local Minimizers of the Interaction Energy

D. Balagu\'e, G. Raoul, J. A. Carrillo, T. Laurent

arxiv:1210.6795 v1 · 2012-10-25 · 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{BUS4KSYEMJRRFEDS6ROCRRYMPS}

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	2026-05-18T01:53:37.820106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d25c54b046263129072f45c28c70c7cbdf2f957d3dbed50759045a77e437769

Aliases

arxiv: 1210.6795 · arxiv_version: 1210.6795v1 · doi: 10.48550/arxiv.1210.6795 · pith_short_12: BUS4KSYEMJRR · pith_short_16: BUS4KSYEMJRRFEDS · pith_short_8: BUS4KSYE

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/BUS4KSYEMJRRFEDS6ROCRRYMPS \
  | 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: 0d25c54b046263129072f45c28c70c7cbdf2f957d3dbed50759045a77e437769

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bd38ef5b8ea0d05db66750c9a463e88572393144d5d51581933f5acc6128dca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-25T11:17:06Z",
    "title_canon_sha256": "5105d6c4d47e22033f3cc4d1fbd9c85315e0c927821bc16cb46c18a55672e7f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6795",
    "kind": "arxiv",
    "version": 1
  }
}