Pith Number

pith:QARXCJG5

pith:2010:QARXCJG5GVDP2ET6C2DSU54RSL

not attested not anchored not stored refs pending

Convergence of sectorial operators on varying Hilbert space

Delio Mugnolo, Olaf Post, Robin Nittka

arxiv:1007.3932 v2 · 2010-07-22 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QARXCJG5GVDP2ET6C2DSU54RSL}

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	2026-05-18T03:02:07.730173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80237124dd3546fd127e16872a779192dea9736cf3875c7c049b54560cca6e02

Aliases

arxiv: 1007.3932 · arxiv_version: 1007.3932v2 · doi: 10.48550/arxiv.1007.3932 · pith_short_12: QARXCJG5GVDP · pith_short_16: QARXCJG5GVDP2ET6 · pith_short_8: QARXCJG5

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/QARXCJG5GVDP2ET6C2DSU54RSL \
  | 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: 80237124dd3546fd127e16872a779192dea9736cf3875c7c049b54560cca6e02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c91ad448f7416a18669520dcf0cc5fe38dce992fb0d6438b8e624d17851f8dd6",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-07-22T16:23:45Z",
    "title_canon_sha256": "ed1c06b1ef8b79533093657fd933258a0b996c49e20beaac9ac7e1cfe40af4f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3932",
    "kind": "arxiv",
    "version": 2
  }
}