Pith Number

pith:WUV4Z6AX

pith:2015:WUV4Z6AXFWG6ERFLNIZE674PDS

not attested not anchored not stored refs pending

An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators

Albert Mas, Luis Vega, Naiara Arrizabalaga

arxiv:1504.04220 v1 · 2015-04-16 · 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{WUV4Z6AXFWG6ERFLNIZE674PDS}

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	2026-05-18T01:12:13.500234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b52bccf8172d8de244ab6a324f7f8f1cb59e8f3289a136a1d4a23f32e86edb45

Aliases

arxiv: 1504.04220 · arxiv_version: 1504.04220v1 · doi: 10.48550/arxiv.1504.04220 · pith_short_12: WUV4Z6AXFWG6 · pith_short_16: WUV4Z6AXFWG6ERFL · pith_short_8: WUV4Z6AX

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/WUV4Z6AXFWG6ERFLNIZE674PDS \
  | 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: b52bccf8172d8de244ab6a324f7f8f1cb59e8f3289a136a1d4a23f32e86edb45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fb6f8c4bc082cc79fbe674c9635914099f9656c54b826df927b944eda0962d1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-16T13:21:24Z",
    "title_canon_sha256": "8c23350face640b51953760546cc4cf5a08b3ca3883e201b92527764b3456d2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04220",
    "kind": "arxiv",
    "version": 1
  }
}