Pith Number

pith:QKFAA7WF

pith:2013:QKFAA7WFHN3VWGUHTOZHFROKEO

not attested not anchored not stored refs pending

Unbounded quasinormal operators revisited

Il Bong Jung, Jan Stochel, Zenon Jan Jablonski

arxiv:1310.3144 v1 · 2013-10-11 · 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{QKFAA7WFHN3VWGUHTOZHFROKEO}

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	2026-05-18T00:56:53.587487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

828a007ec53b775b1a879bb272c5ca239fa5efe6350ecba2553671fc2e80847c

Aliases

arxiv: 1310.3144 · arxiv_version: 1310.3144v1 · doi: 10.48550/arxiv.1310.3144 · pith_short_12: QKFAA7WFHN3V · pith_short_16: QKFAA7WFHN3VWGUH · pith_short_8: QKFAA7WF

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/QKFAA7WFHN3VWGUHTOZHFROKEO \
  | 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: 828a007ec53b775b1a879bb272c5ca239fa5efe6350ecba2553671fc2e80847c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7761659a7fe812ddcdd239055cf4498aa8499bba75d868a4674e6ae4ce70acd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-11T14:34:20Z",
    "title_canon_sha256": "4e044d25f71016bb0dfb2a9e93279fcbc8c28bf036f5fb9e48d8c940338c175f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3144",
    "kind": "arxiv",
    "version": 1
  }
}