Pith Number

pith:WPF7NRLA

pith:2011:WPF7NRLASPSIG7M6BUMBVITEQ2

not attested not anchored not stored refs pending

Extension and lifting of operators and polynomials

Jes\'us M.F. Castillo, Jes\'us Su\'arez, Ricardo Garc\'ia

arxiv:1106.5088 v1 · 2011-06-25 · 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{WPF7NRLASPSIG7M6BUMBVITEQ2}

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	2026-05-18T04:19:21.414247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3cbf6c56093e4837d9e0d181aa26486b3152481ad45eea395d508d633238cb2

Aliases

arxiv: 1106.5088 · arxiv_version: 1106.5088v1 · doi: 10.48550/arxiv.1106.5088 · pith_short_12: WPF7NRLASPSI · pith_short_16: WPF7NRLASPSIG7M6 · pith_short_8: WPF7NRLA

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/WPF7NRLASPSIG7M6BUMBVITEQ2 \
  | 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: b3cbf6c56093e4837d9e0d181aa26486b3152481ad45eea395d508d633238cb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef3c4e008e4f7c5dd6aae3e95bd4174af86db39d0549f1b9405da2665682cd27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-06-25T01:11:39Z",
    "title_canon_sha256": "a57994ad6395dd4f4514c0110ca8bef0d240e756d60e80cad3c993d71927becc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5088",
    "kind": "arxiv",
    "version": 1
  }
}