Pith Number

pith:EII4ZQU2

pith:2004:EII4ZQU24OAJHQWTECOHL3CJQP

not attested not anchored not stored refs pending

Operator integrals with respect to a spectral measure and solutions to some operator equations

Alexander K. Motovilov, Sergio Albeverio

arxiv:math/0410577 v2 · 2004-10-27 · math.SP · 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{EII4ZQU24OAJHQWTECOHL3CJQP}

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	2026-05-18T04:03:45.709060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2211ccc29ae38093c2d3209c75ec4983dea35b6a6394dc46e9a3de7883f04580

Aliases

arxiv: math/0410577 · arxiv_version: math/0410577v2 · doi: 10.48550/arxiv.math/0410577 · pith_short_12: EII4ZQU24OAJ · pith_short_16: EII4ZQU24OAJHQWT · pith_short_8: EII4ZQU2

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/EII4ZQU24OAJHQWTECOHL3CJQP \
  | 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: 2211ccc29ae38093c2d3209c75ec4983dea35b6a6394dc46e9a3de7883f04580

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "534cb2f3e7507e061765aba8e0c507bf597ca916b7a182229f216f118bfd4227",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2004-10-27T16:51:13Z",
    "title_canon_sha256": "d0fe4ef4586f2dbd2314e78b0e65c509ef01c02902bf5e439e8d08aa252b8db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410577",
    "kind": "arxiv",
    "version": 2
  }
}