Pith Number

pith:2MY5DLPZ

pith:1993:2MY5DLPZ6336AT3O7BJKVWVNDD

not attested not anchored not stored refs pending

Diagonalization of certain integral operators II

Mizan Rahman, Mourad E. H. Ismail, Ruiming Zhang

arxiv:math/9310221 v1 · 1993-10-05 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MY5DLPZ6336AT3O7BJKVWVNDD}

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	2026-05-18T01:05:51.854831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d331d1adf9f6f7e04f6ef852aadaad18fef53f8ba545b551c9d43f323dfb4c69

Aliases

arxiv: math/9310221 · arxiv_version: math/9310221v1 · doi: 10.48550/arxiv.math/9310221 · pith_short_12: 2MY5DLPZ6336 · pith_short_16: 2MY5DLPZ6336AT3O · pith_short_8: 2MY5DLPZ

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/2MY5DLPZ6336AT3O7BJKVWVNDD \
  | 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: d331d1adf9f6f7e04f6ef852aadaad18fef53f8ba545b551c9d43f323dfb4c69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f824e3eed73313ea0f8c967b2fe2eba199dde6bf6c9ac11133c2441ce7287c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "1993-10-05T00:00:00Z",
    "title_canon_sha256": "a78e8ffaac399cb165fe50188845020ae6f2c116d2a60c598b6807ed4bd05f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9310221",
    "kind": "arxiv",
    "version": 1
  }
}