Pith Number

pith:J7CFSVR2

pith:2016:J7CFSVR2X6LHWS5OO44PS5TK6R

not attested not anchored not stored refs pending

Cyclic cohomology for graded $C^{*,r}$-algebras and its pairings with van Daele $K$-theory

Johannes Kellendonk

arxiv:1607.08465 v3 · 2016-07-28 · math.KT · cond-mat.other · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7CFSVR2X6LHWS5OO44PS5TK6R}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:54:17.041621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fc459563abf967b4bae7738f9766af470809f31b597f2afacf2fa46392d4508

Aliases

arxiv: 1607.08465 · arxiv_version: 1607.08465v3 · doi: 10.48550/arxiv.1607.08465 · pith_short_12: J7CFSVR2X6LH · pith_short_16: J7CFSVR2X6LHWS5O · pith_short_8: J7CFSVR2

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/J7CFSVR2X6LHWS5OO44PS5TK6R \
  | 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: 4fc459563abf967b4bae7738f9766af470809f31b597f2afacf2fa46392d4508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "808fa1b29f203c8999c4bb99cdb261a1d771f88eb9c468d3156bcdc673111058",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-07-28T14:14:15Z",
    "title_canon_sha256": "d1187dcab04b6ef5476a678676369728587ffbc23fbf294a0e45f301c24471b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08465",
    "kind": "arxiv",
    "version": 3
  }
}