Pith Number

pith:MHPTORKO

pith:2010:MHPTORKOUSTC3NL5AVAY6ZACPX

not attested not anchored not stored refs pending

On integral equations related to weighted Toepitz operators

Carme Cascante, Daniel Pascuas, Joan Fabrega

arxiv:1009.3128 v1 · 2010-09-16 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHPTORKOUSTC3NL5AVAY6ZACPX}

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	2026-05-18T04:40:46.970259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61df37454ea4a62db57d05418f64027dfba9dd2a013cdeeb26089ce4ee9c848d

Aliases

arxiv: 1009.3128 · arxiv_version: 1009.3128v1 · doi: 10.48550/arxiv.1009.3128 · pith_short_12: MHPTORKOUSTC · pith_short_16: MHPTORKOUSTC3NL5 · pith_short_8: MHPTORKO

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/MHPTORKOUSTC3NL5AVAY6ZACPX \
  | 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: 61df37454ea4a62db57d05418f64027dfba9dd2a013cdeeb26089ce4ee9c848d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef26bcaf4f2755265ddf0f6fe217ba7ae5fa7d297a0bba8e2810f685f847e84a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-09-16T09:36:49Z",
    "title_canon_sha256": "b44bf63367c883e8cdb02058218d1aa1deda3d43259c47250346837a783b4a71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3128",
    "kind": "arxiv",
    "version": 1
  }
}