Pith Number

pith:3OGENU7W

pith:2011:3OGENU7WKU3HXE7LO4FPUOVGTF

not attested not anchored not stored refs pending

Twisted Cyclic Cohomology and Modular Fredholm Modules

Adam Rennie, Andrzej Sitarz, Makoto Yamashita

arxiv:1111.6328 v4 · 2011-11-28 · math.KT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OGENU7WKU3HXE7LO4FPUOVGTF}

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	2026-05-18T03:17:12.160228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db8c46d3f655367b93eb770afa3aa6996915e83b5aa337bcde51562d69bbdebb

Aliases

arxiv: 1111.6328 · arxiv_version: 1111.6328v4 · doi: 10.48550/arxiv.1111.6328 · pith_short_12: 3OGENU7WKU3H · pith_short_16: 3OGENU7WKU3HXE7L · pith_short_8: 3OGENU7W

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/3OGENU7WKU3HXE7LO4FPUOVGTF \
  | 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: db8c46d3f655367b93eb770afa3aa6996915e83b5aa337bcde51562d69bbdebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea4f1290e68aafc50fe4532dc022b483e81df5f2439b213c033e27c6b0c9dff8",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-11-28T01:37:35Z",
    "title_canon_sha256": "8df1ab3f4157fef20c17a0cc5b40c1de6c21d4562f08833a1a287587d5171e18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6328",
    "kind": "arxiv",
    "version": 4
  }
}