Pith Number

pith:2BW5PBCF

pith:2011:2BW5PBCFR26V2SBRJNNXG646IC

not attested not anchored not stored refs pending

A T(1)-Theorem for non-integral operators

Dorothee Frey, Peer Christian Kunstmann

arxiv:1107.4347 v1 · 2011-07-21 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BW5PBCFR26V2SBRJNNXG646IC}

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	2026-05-18T04:17:12.727362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d06dd784458ebd5d48314b5b737b9e40b313156a5cd504e10bc20e234897ba9e

Aliases

arxiv: 1107.4347 · arxiv_version: 1107.4347v1 · doi: 10.48550/arxiv.1107.4347 · pith_short_12: 2BW5PBCFR26V · pith_short_16: 2BW5PBCFR26V2SBR · pith_short_8: 2BW5PBCF

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/2BW5PBCFR26V2SBRJNNXG646IC \
  | 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: d06dd784458ebd5d48314b5b737b9e40b313156a5cd504e10bc20e234897ba9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da034d3b6243f79f35d3cf0e54dedd8e3d8e9b125263b2d41adb8699aa4d7f4b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-07-21T19:42:06Z",
    "title_canon_sha256": "d78834443e1f4fafc6af6ad022e7594c5986ab78f8e086a2bc5cd5e0234cc4de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4347",
    "kind": "arxiv",
    "version": 1
  }
}