Pith Number

pith:BCHBCKJ2

pith:2025:BCHBCKJ26J34MH3SN64H656YBX

not attested not anchored not stored refs pending

The CKN inequality for spinors: symmetry and symmetry breaking

Jean Dolbeault, Maria J. Esteban, Michael Loss, Rupert L. Frank

arxiv:2504.16909 v1 · 2025-04-23 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCHBCKJ26J34MH3SN64H656YBX}

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.

Cited by

1 paper in Pith

Sharp upper bounds for the density of relativistic atoms: Noninteracting case

Receipt and verification

First computed	2026-07-05T10:53:06.229512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

088e11293af277c61f726fb87f77d80dcf2e721df843d2ed1bb0b6c0ffe0ea83

Aliases

arxiv: 2504.16909 · arxiv_version: 2504.16909v1 · doi: 10.48550/arxiv.2504.16909 · pith_short_12: BCHBCKJ26J34 · pith_short_16: BCHBCKJ26J34MH3S · pith_short_8: BCHBCKJ2

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/BCHBCKJ26J34MH3SN64H656YBX \
  | 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: 088e11293af277c61f726fb87f77d80dcf2e721df843d2ed1bb0b6c0ffe0ea83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9ba846203b44d663f00c2c0b15017e50bc0fd8ef68c2c20bec0d6595240b8d1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-23T17:37:38Z",
    "title_canon_sha256": "4dff3c66b482f1c7472ba8c45bb86517bc5e64388d8a8709731bd9e20d2039b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16909",
    "kind": "arxiv",
    "version": 1
  }
}