Pith Number

pith:BAA7OAVX

pith:2004:BAA7OAVX4GFIGQ4N46PTYXI4QQ

not attested not anchored not stored refs pending

Reflexivity of the translation-dilation algebras on L^2(R)

R. H. Levene, S. C. Power

arxiv:math/0401187 v2 · 2004-01-15 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BAA7OAVX4GFIGQ4N46PTYXI4QQ}

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	2026-05-18T02:27:51.445144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0801f702b7e18a83438de79f3c5d1c8429c0e59e2aebbf7b4e61e5120a2a07e5

Aliases

arxiv: math/0401187 · arxiv_version: math/0401187v2 · doi: 10.48550/arxiv.math/0401187 · pith_short_12: BAA7OAVX4GFI · pith_short_16: BAA7OAVX4GFIGQ4N · pith_short_8: BAA7OAVX

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/BAA7OAVX4GFIGQ4N46PTYXI4QQ \
  | 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: 0801f702b7e18a83438de79f3c5d1c8429c0e59e2aebbf7b4e61e5120a2a07e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b7e25382d455db6ba886e08d27b92060b6c19ed8c9651b8bf3d8e3d565a41da",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2004-01-15T17:55:22Z",
    "title_canon_sha256": "5c49e409e8acfa2164519884560aa6fbc0e52a1d62f396dc3638ca779c635321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401187",
    "kind": "arxiv",
    "version": 2
  }
}