Pith Number

pith:CBX5VJYV

pith:2021:CBX5VJYV2DW5S3XG5VLDHAT6DR

not attested not anchored not stored refs pending

A Note on Twisted Crossed Products and Spectral Triples

A. Rubin, D. Guido, P. Antonini, T. Isola

arxiv:2110.05345 v3 · 2021-10-11 · math.OA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBX5VJYV2DW5S3XG5VLDHAT6DR}

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	2026-07-05T04:52:15.311730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

106fdaa715d0edd96ee6ed5633827e1c545c155848b220def7dd6c2cbc0290ba

Aliases

arxiv: 2110.05345 · arxiv_version: 2110.05345v3 · doi: 10.48550/arxiv.2110.05345 · pith_short_12: CBX5VJYV2DW5 · pith_short_16: CBX5VJYV2DW5S3XG · pith_short_8: CBX5VJYV

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/CBX5VJYV2DW5S3XG5VLDHAT6DR \
  | 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: 106fdaa715d0edd96ee6ed5633827e1c545c155848b220def7dd6c2cbc0290ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef3e90871f19d7f9c57e5adf9a610d4ef116190956d3d44920025a6a868aac39",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2021-10-11T15:13:17Z",
    "title_canon_sha256": "65a100dcb8dcd669a94c7355cfaddc30f5f2821c8565f0ab6bd318682db5e9b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.05345",
    "kind": "arxiv",
    "version": 3
  }
}