Pith Number

pith:OOKAVH2O

pith:2025:OOKAVH2O5APGCIQLATCM4JSNYO

not attested not anchored not stored refs pending

Weak null maximum and integration of families of multiplication operators

David Norrbo

arxiv:2509.05173 v1 · 2025-09-05 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOKAVH2O5APGCIQLATCM4JSNYO}

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	2026-07-05T12:05:37.260522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73940a9f4ee81e61220b04c4ce264dc3bff3a13b61e325bae212aca4d071c375

Aliases

arxiv: 2509.05173 · arxiv_version: 2509.05173v1 · doi: 10.48550/arxiv.2509.05173 · pith_short_12: OOKAVH2O5APG · pith_short_16: OOKAVH2O5APGCIQL · pith_short_8: OOKAVH2O

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/OOKAVH2O5APGCIQLATCM4JSNYO \
  | 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: 73940a9f4ee81e61220b04c4ce264dc3bff3a13b61e325bae212aca4d071c375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4ca8d2225bf88fbd24c4e0611873eb2b82ca989a9c3f1c3ac025e37aa244980",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-09-05T15:17:24Z",
    "title_canon_sha256": "f46391c9ecc31ae44a2d190003ca084dc0bc79e0be147bfe049ec24eb67f2690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05173",
    "kind": "arxiv",
    "version": 1
  }
}