Pith Number

pith:4AFYVRPU

pith:1999:4AFYVRPUV4ZWOIFPQ7XDFHIZFC

not attested not anchored not stored refs pending

The Casimir Problem of Spherical Dielectrics: A Solution in Terms of Quantum Statistical Mechanics

I. Brevik, J. S. H{\o}ye

arxiv:quant-ph/9903086 v3 · 1999-03-27 · quant-ph · cond-mat · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AFYVRPUV4ZWOIFPQ7XDFHIZFC}

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	2026-05-18T01:09:12.791251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e00b8ac5f4af336720af87ee329d19289261cd2e0d909226816cc429dab4e4ab

Aliases

arxiv: quant-ph/9903086 · arxiv_version: quant-ph/9903086v3 · doi: 10.48550/arxiv.quant-ph/9903086 · pith_short_12: 4AFYVRPUV4ZW · pith_short_16: 4AFYVRPUV4ZWOIFP · pith_short_8: 4AFYVRPU

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/4AFYVRPUV4ZWOIFPQ7XDFHIZFC \
  | 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: e00b8ac5f4af336720af87ee329d19289261cd2e0d909226816cc429dab4e4ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cce8334668a5fee88076526fa46c9fda780bb634e935d69e7f6e511c358e715b",
    "cross_cats_sorted": [
      "cond-mat",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-03-27T13:10:07Z",
    "title_canon_sha256": "5c0b8bec6f57f5fb540bd56ebef0d6fa1b6f4417680f9b9c36f52056b09f4ed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9903086",
    "kind": "arxiv",
    "version": 3
  }
}