Pith Number

pith:B4WL6EBX

pith:2012:B4WL6EBXFWQFRNIRB7KCS3TNA5

not attested not anchored not stored refs pending

On $(n,k)$-quasi-*-paranormal operators

Huaijie Zhong, Qingping Zeng

arxiv:1209.5050 v1 · 2012-09-23 · 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{B4WL6EBXFWQFRNIRB7KCS3TNA5}

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	2026-05-18T02:44:32.545834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f2cbf10372da058b5110fd4296e6d07713333fd8867cdac1768946f44971f00

Aliases

arxiv: 1209.5050 · arxiv_version: 1209.5050v1 · doi: 10.48550/arxiv.1209.5050 · pith_short_12: B4WL6EBXFWQF · pith_short_16: B4WL6EBXFWQFRNIR · pith_short_8: B4WL6EBX

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/B4WL6EBXFWQFRNIRB7KCS3TNA5 \
  | 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: 0f2cbf10372da058b5110fd4296e6d07713333fd8867cdac1768946f44971f00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dec7245422282f6ab52ae1eac9d476c0a10c412eecd01b987eae80a4e5dacc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-23T11:13:09Z",
    "title_canon_sha256": "04613ec94c6bb2e8e67ca8a0c5c94e5693baa8f56834b18a42f132b33978b90f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5050",
    "kind": "arxiv",
    "version": 1
  }
}