Pith Number

pith:O452Q4TN

pith:2013:O452Q4TNIJRAQW34RJTQJY43LS

not attested not anchored not stored refs pending

Characterizing derivations for any nest algebras on Banach spaces by their behaviors at an injective operator

Jinchuan Hou, Xiaofei Qi, Yanfang Zhang

arxiv:1311.5276 v1 · 2013-11-21 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O452Q4TNIJRAQW34RJTQJY43LS}

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	2026-05-18T03:06:33.808518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

773ba8726d4262085b7c8a6704e39b5c9086b313f04dbde2ece6e4697ac69902

Aliases

arxiv: 1311.5276 · arxiv_version: 1311.5276v1 · doi: 10.48550/arxiv.1311.5276 · pith_short_12: O452Q4TNIJRA · pith_short_16: O452Q4TNIJRAQW34 · pith_short_8: O452Q4TN

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/O452Q4TNIJRAQW34RJTQJY43LS \
  | 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: 773ba8726d4262085b7c8a6704e39b5c9086b313f04dbde2ece6e4697ac69902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bb6095adc342c6b5a0e8c4cea573e02ba0ec4146fd6be05563dca83ac4d9ad3",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-21T00:23:59Z",
    "title_canon_sha256": "023e77753ba3497f421248b7bdab9e5101288ce1a1f057076c52fffacb2b659e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5276",
    "kind": "arxiv",
    "version": 1
  }
}