Pith Number

pith:7D3UPL3K

pith:2015:7D3UPL3KBLWQ3E4C2HRJRADEA6

not attested not anchored not stored refs pending

Self-adjoint cyclically compact operators and their applications

Farrukh Mukhamedov, Karimbergen Kudaybergenov

arxiv:1502.02366 v1 · 2015-02-09 · math.OA · 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{7D3UPL3KBLWQ3E4C2HRJRADEA6}

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	2026-05-18T02:27:42.714082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8f747af6a0aed0d9382d1e298806407b31282525b97c2f3089952a7b4c66223

Aliases

arxiv: 1502.02366 · arxiv_version: 1502.02366v1 · doi: 10.48550/arxiv.1502.02366 · pith_short_12: 7D3UPL3KBLWQ · pith_short_16: 7D3UPL3KBLWQ3E4C · pith_short_8: 7D3UPL3K

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/7D3UPL3KBLWQ3E4C2HRJRADEA6 \
  | 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: f8f747af6a0aed0d9382d1e298806407b31282525b97c2f3089952a7b4c66223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b9e189f66f82b59d27b41161e53062bd50ac335b3bcde4637fc2afa5a181b02",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-02-09T05:23:57Z",
    "title_canon_sha256": "7c87d5a261b01db55375911dcf12b80da90354c2909215c8a21e1c027308ff92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02366",
    "kind": "arxiv",
    "version": 1
  }
}