Pith Number

pith:NH6QPZUS

pith:2013:NH6QPZUST7EVLBT2EN5IHVP2KO

not attested not anchored not stored refs pending

Operator integrals and sesquilinear forms

Daniel Dubin, Juha-Pekka Pellonp\"a\"a, Jukka Kiukas, Kari Ylinen

arxiv:1303.1770 v1 · 2013-03-07 · 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{NH6QPZUST7EVLBT2EN5IHVP2KO}

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	2026-05-18T02:57:43.698793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69fd07e6929fc955867a237a83d5fa53b16ad041a815f4b0d44a71443bd8bb72

Aliases

arxiv: 1303.1770 · arxiv_version: 1303.1770v1 · doi: 10.48550/arxiv.1303.1770 · pith_short_12: NH6QPZUST7EV · pith_short_16: NH6QPZUST7EVLBT2 · pith_short_8: NH6QPZUS

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/NH6QPZUST7EVLBT2EN5IHVP2KO \
  | 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: 69fd07e6929fc955867a237a83d5fa53b16ad041a815f4b0d44a71443bd8bb72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da6db10eb3aad9f80e931686a0f04882c0ed116121e238c64ba029ad9088a5af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-07T18:00:31Z",
    "title_canon_sha256": "cefd263527b9bd6053e81481af6d4d4b6a2f81b60a1db45f266980de905b6ed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1770",
    "kind": "arxiv",
    "version": 1
  }
}