Pith Number

pith:QZOO4C4Q

pith:2012:QZOO4C4QZXFZHYVHEMDHF4OAFM

not attested not anchored not stored refs pending

A similarity invariant of a class of n-normal operators in terms of K-theory

Chunlan Jiang, Rui Shi

arxiv:1211.6243 v1 · 2012-11-27 · 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{QZOO4C4QZXFZHYVHEMDHF4OAFM}

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	2026-05-18T03:39:52.158450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

865cee0b90cdcb93e2a7230672f1c02b1ae2e210551c8c8d136d0aba63990f78

Aliases

arxiv: 1211.6243 · arxiv_version: 1211.6243v1 · doi: 10.48550/arxiv.1211.6243 · pith_short_12: QZOO4C4QZXFZ · pith_short_16: QZOO4C4QZXFZHYVH · pith_short_8: QZOO4C4Q

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/QZOO4C4QZXFZHYVHEMDHF4OAFM \
  | 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: 865cee0b90cdcb93e2a7230672f1c02b1ae2e210551c8c8d136d0aba63990f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a08c934d8f1f0410b3a3d384a89c03d442f8b51fc28811f47a0eb2dd55bc9d3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-27T08:55:22Z",
    "title_canon_sha256": "916e2be5324307db6ff80f236da27353db5fe9b5ccc3a74a45d33ae11fe248e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6243",
    "kind": "arxiv",
    "version": 1
  }
}