Pith Number

pith:RAOJZHTG

pith:2000:RAOJZHTG2MEUWH2BE2TDQMGV3J

not attested not anchored not stored refs pending

The generalized Abel-Plana formula. Applications to Bessel functions and Casimir effect

A. A. Saharian (Yerevan State University, Armenia)

arxiv:hep-th/0002239 v1 · 2000-02-28 · hep-th · math-ph · math.CV · 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{RAOJZHTG2MEUWH2BE2TDQMGV3J}

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

One-Loop Correction to the Casimir Energy in Lorentz-Violating $\phi^4$ Theory with Rough Membrane Boundaries

Receipt and verification

First computed	2026-07-04T14:31:19.337888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

881c9c9e66d3094b1f4126a63830d5da727c80696351d309c4fe4e714f7253e6

Aliases

arxiv: hep-th/0002239 · arxiv_version: hep-th/0002239v1 · doi: 10.48550/arxiv.hep-th/0002239 · pith_short_12: RAOJZHTG2MEU · pith_short_16: RAOJZHTG2MEUWH2B · pith_short_8: RAOJZHTG

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/RAOJZHTG2MEUWH2BE2TDQMGV3J \
  | 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: 881c9c9e66d3094b1f4126a63830d5da727c80696351d309c4fe4e714f7253e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2f52ef8f6f4cbe45fd4a2d680b028ec5780972105e0bf67f153c4d78004514e",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-02-28T16:22:20Z",
    "title_canon_sha256": "5e83a628c93cded0ad9954d576c49328e00f50dda54a4426488f1e6ebbed78bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0002239",
    "kind": "arxiv",
    "version": 1
  }
}