Pith Number

pith:VFXTKHBS

pith:2014:VFXTKHBSLGXUFSYC2RDFL3UGRH

not attested not anchored not stored refs pending

Sharp lower bounds for Coulomb energy

Jacopo Bellazzini, Marco Ghimenti, Tohru Ozawa

arxiv:1410.0598 v3 · 2014-10-02 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFXTKHBSLGXUFSYC2RDFL3UGRH}

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	2026-05-18T01:58:27.178437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a96f351c3259af42cb02d44655ee8689df487b8d23ec64a4e8ff860cb63e2797

Aliases

arxiv: 1410.0598 · arxiv_version: 1410.0598v3 · doi: 10.48550/arxiv.1410.0598 · pith_short_12: VFXTKHBSLGXU · pith_short_16: VFXTKHBSLGXUFSYC · pith_short_8: VFXTKHBS

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/VFXTKHBSLGXUFSYC2RDFL3UGRH \
  | 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: a96f351c3259af42cb02d44655ee8689df487b8d23ec64a4e8ff860cb63e2797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bba921f50d5e84d55077284897c8afb21a7f503fd3a01a530a5656557a8dbf00",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-02T16:08:32Z",
    "title_canon_sha256": "873081c57c5f3bf9af97abed5378b2a501fdeb89fb18e83f81c162703abddee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0598",
    "kind": "arxiv",
    "version": 3
  }
}