Pith Number

pith:7PNLTKXQ

pith:2010:7PNLTKXQOL3YVQJJISRPB72GLW

not attested not anchored not stored refs pending

Admissible operators and ${\mathcal H}_{\infty}$ calculus

Hans Zwart

arxiv:1001.3482 v2 · 2010-01-20 · 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{7PNLTKXQOL3YVQJJISRPB72GLW}

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	2026-05-18T04:13:56.968147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbdab9aaf072f78ac12944a2f0ff465dbcd5a86fcaf4e42edd199b384ba65d7d

Aliases

arxiv: 1001.3482 · arxiv_version: 1001.3482v2 · doi: 10.48550/arxiv.1001.3482 · pith_short_12: 7PNLTKXQOL3Y · pith_short_16: 7PNLTKXQOL3YVQJJ · pith_short_8: 7PNLTKXQ

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/7PNLTKXQOL3YVQJJISRPB72GLW \
  | 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: fbdab9aaf072f78ac12944a2f0ff465dbcd5a86fcaf4e42edd199b384ba65d7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39f1bb85f351c30ea159c164d6af1da09302f49143c07ca0c6b93b9cd0f8dc81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-01-20T07:36:25Z",
    "title_canon_sha256": "31df22efd26c43b0510da978a0d1408c681c2ef3d087cca0be62a90fbfa0b506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3482",
    "kind": "arxiv",
    "version": 2
  }
}