Pith Number

pith:HWMGNXQD

pith:2010:HWMGNXQDSSQ7CPFSVFH4M2V7YA

not attested not anchored not stored refs pending

Cyclic Homology of Strong Smash Product Algebras

Jiao Zhang, Naihong Hu

arxiv:1008.2504 v1 · 2010-08-15 · math.QA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWMGNXQDSSQ7CPFSVFH4M2V7YA}

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	2026-05-18T03:58:38.408875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d9866de0394a1f13cb2a94fc66abfc023c3a2b69a2d7f24e17f60abad1ef115

Aliases

arxiv: 1008.2504 · arxiv_version: 1008.2504v1 · doi: 10.48550/arxiv.1008.2504 · pith_short_12: HWMGNXQDSSQ7 · pith_short_16: HWMGNXQDSSQ7CPFS · pith_short_8: HWMGNXQD

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/HWMGNXQDSSQ7CPFSVFH4M2V7YA \
  | 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: 3d9866de0394a1f13cb2a94fc66abfc023c3a2b69a2d7f24e17f60abad1ef115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c3d86ee69c5be61285f414f0bb5ed014d816910c8fb4220eda0ddc3c94f11bf",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-08-15T08:01:56Z",
    "title_canon_sha256": "0cebf42c8c3f9887bdb5dcad7d8a70df896c79788ede890d2958152bc612fdcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2504",
    "kind": "arxiv",
    "version": 1
  }
}