Pith Number

pith:VKJYXDMI

pith:2025:VKJYXDMIS2TZS5GUBWCDLWS5QC

not attested not anchored not stored refs pending

Twisted crossed products of Banach algebras

Alonso Delf\'in, Carla Farsi, Judith Packer

arxiv:2509.24106 v3 · 2025-09-28 · math.FA · math.DS · 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{VKJYXDMIS2TZS5GUBWCDLWS5QC}

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	2026-05-20T00:05:34.102402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa938b8d8896a79974d40d8435da5d80a2a722d902ddffa20d96779c174fbf6d

Aliases

arxiv: 2509.24106 · arxiv_version: 2509.24106v3 · doi: 10.48550/arxiv.2509.24106 · pith_short_12: VKJYXDMIS2TZ · pith_short_16: VKJYXDMIS2TZS5GU · pith_short_8: VKJYXDMI

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/VKJYXDMIS2TZS5GUBWCDLWS5QC \
  | 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: aa938b8d8896a79974d40d8435da5d80a2a722d902ddffa20d96779c174fbf6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b6be9c97b73e2c0b38e3ca189746c62fb5b0c67ef8ca084d58eb77389402112",
    "cross_cats_sorted": [
      "math.DS",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-09-28T22:52:22Z",
    "title_canon_sha256": "3d122d132855a720547916cadb7164c48b79c662a441aabad88eb8bdec98eb26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.24106",
    "kind": "arxiv",
    "version": 3
  }
}