Pith Number

pith:25DTBJUN

pith:2012:25DTBJUNQDPD55RUI5EEWP5GG6

not attested not anchored not stored refs pending

Invertible weighted composition operators

Paul S. Bourdon

arxiv:1211.4190 v1 · 2012-11-18 · 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{25DTBJUNQDPD55RUI5EEWP5GG6}

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	2026-05-18T03:40:27.701098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d74730a68d80de3ef63447484b3fa637a3732d01c23836ba0823da768470fb11

Aliases

arxiv: 1211.4190 · arxiv_version: 1211.4190v1 · doi: 10.48550/arxiv.1211.4190 · pith_short_12: 25DTBJUNQDPD · pith_short_16: 25DTBJUNQDPD55RU · pith_short_8: 25DTBJUN

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/25DTBJUNQDPD55RUI5EEWP5GG6 \
  | 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: d74730a68d80de3ef63447484b3fa637a3732d01c23836ba0823da768470fb11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a0585fa4db56de0f0fda6fe096b83491ac2c6cdb54e8dded7c9b9db77a56721",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-18T03:09:51Z",
    "title_canon_sha256": "919390466f780ca6b247b5fe26305aa7b1fd072ea66417ae14867b67286757e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4190",
    "kind": "arxiv",
    "version": 1
  }
}