Pith Number

pith:WNGDA7O7

pith:2024:WNGDA7O7ZLMB2QJ6LZ3LXO6HH5

not attested not anchored not stored refs pending

Groupoid homology and K-theory for algebraic actions from number theory

Chris Bruce, Takuya Takeishi, Yosuke Kubota

arxiv:2407.01952 v2 · 2024-07-02 · math.OA · math.AT · math.DS · math.KT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNGDA7O7ZLMB2QJ6LZ3LXO6HH5}

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	2026-06-12T01:09:04.807776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b34c307ddfcad81d413e5e76bbbbc73f40b9ef14981ab5528d62038a590b4e0e

Aliases

arxiv: 2407.01952 · arxiv_version: 2407.01952v2 · doi: 10.48550/arxiv.2407.01952 · pith_short_12: WNGDA7O7ZLMB · pith_short_16: WNGDA7O7ZLMB2QJ6 · pith_short_8: WNGDA7O7

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/WNGDA7O7ZLMB2QJ6LZ3LXO6HH5 \
  | 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: b34c307ddfcad81d413e5e76bbbbc73f40b9ef14981ab5528d62038a590b4e0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7e931a2a540234f617d2ad2d9380f8cb7b260c5f23fb88f9235bcc1f6ed2917",
    "cross_cats_sorted": [
      "math.AT",
      "math.DS",
      "math.KT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-07-02T05:01:53Z",
    "title_canon_sha256": "4f855d6cddc410cf3138af11bd17f936d089202c2917dd223c49ae163b8b37ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.01952",
    "kind": "arxiv",
    "version": 2
  }
}