Pith Number

pith:AGEE4TFA

pith:2012:AGEE4TFANFT2F5XTDHYJI5APF3

not attested not anchored not stored refs pending

Completeness and spectral synthesis of nonselfadjoint one-dimensional perturbations of selfadjoint operators

Anton D. Baranov, Dmitry V. Yakubovich

arxiv:1212.5965 v2 · 2012-12-24 · math.FA · math.CV · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AGEE4TFANFT2F5XTDHYJI5APF3}

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	2026-05-18T01:10:23.973712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01884e4ca06967a2f6f319f094740f2ee952162679e367d944e87822b9f95be2

Aliases

arxiv: 1212.5965 · arxiv_version: 1212.5965v2 · doi: 10.48550/arxiv.1212.5965 · pith_short_12: AGEE4TFANFT2 · pith_short_16: AGEE4TFANFT2F5XT · pith_short_8: AGEE4TFA

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/AGEE4TFANFT2F5XTDHYJI5APF3 \
  | 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: 01884e4ca06967a2f6f319f094740f2ee952162679e367d944e87822b9f95be2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96c616440b6e5e554649eab6e98cbcf28b1bad7f447267dce48a269f91b10157",
    "cross_cats_sorted": [
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-24T21:15:16Z",
    "title_canon_sha256": "2f0a2c1c918d66131f9747ef26515b086cf4cdd5defe716e2b1857b4020a0dbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5965",
    "kind": "arxiv",
    "version": 2
  }
}