Pith Number

pith:RH4A6VIB

pith:2004:RH4A6VIBDC7BIDJINUINAZQENL

not attested not anchored not stored refs pending

Lusin's Theorem and Bochner Integration

Erik Talvila, Peter A. Loeb

arxiv:math/0406370 v1 · 2004-06-18 · math.CA · 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{RH4A6VIBDC7BIDJINUINAZQENL}

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	2026-05-18T04:28:28.133140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89f80f550118be140d286d10d066046adda6c72cbdb596b373a8f0e435a989f0

Aliases

arxiv: math/0406370 · arxiv_version: math/0406370v1 · doi: 10.48550/arxiv.math/0406370 · pith_short_12: RH4A6VIBDC7B · pith_short_16: RH4A6VIBDC7BIDJI · pith_short_8: RH4A6VIB

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/RH4A6VIBDC7BIDJINUINAZQENL \
  | 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: 89f80f550118be140d286d10d066046adda6c72cbdb596b373a8f0e435a989f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77749191d56cff19ac4cae6638ce2cfe2e3961f8edd065a4ecf48b9cf873e478",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2004-06-18T16:55:40Z",
    "title_canon_sha256": "ba08903eade48e2f8625cfae517162b378ff0534423f0e3de24ce399d7226a23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406370",
    "kind": "arxiv",
    "version": 1
  }
}