Pith Number

pith:LAZJM5UF

pith:2024:LAZJM5UFZDN4A7DHHFVTF465DR

not attested not anchored not stored refs pending

The rational HK-conjecture: transformation groupoids and a revised version

Robin J. Deeley, Rufus Willett

arxiv:2402.06837 v1 · 2024-02-09 · math.KT · 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{LAZJM5UFZDN4A7DHHFVTF465DR}

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.

Cited by

1 paper in Pith

A trace pairing and Elliott invariant for groupoid homology

Receipt and verification

First computed	2026-07-05T07:43:39.367596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5832967685c8dbc07c67396b32f3dd1c55091bdb388b82e90875223abaad3edc

Aliases

arxiv: 2402.06837 · arxiv_version: 2402.06837v1 · doi: 10.48550/arxiv.2402.06837 · pith_short_12: LAZJM5UFZDN4 · pith_short_16: LAZJM5UFZDN4A7DH · pith_short_8: LAZJM5UF

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/LAZJM5UFZDN4A7DHHFVTF465DR \
  | 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: 5832967685c8dbc07c67396b32f3dd1c55091bdb388b82e90875223abaad3edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1928ed0a334ebf743533fe7adb6e50bca245d096b80697ae1b31cb5e7afc21ea",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2024-02-09T23:55:27Z",
    "title_canon_sha256": "2c567777a6200c8d97d2530b6c00a194fecc1fa8ba62b0e8d8d87f857f1cd422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.06837",
    "kind": "arxiv",
    "version": 1
  }
}