Pith Number

pith:D6AMIVQL

pith:2019:D6AMIVQLD5OAOE4ADQPX7PU7D7

not attested not anchored not stored refs pending

Smooth Connes--Thom isomorphism, cyclic homology, and equivariant quantisation

Sayan Chakraborty, Xiang Tang, Yi-Jun Yao

arxiv:1907.09051 v1 · 2019-07-21 · math.KT · math.OA · 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{D6AMIVQLD5OAOE4ADQPX7PU7D7}

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	2026-05-17T23:40:02.299569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f80c4560b1f5c0713801c1f7fbe9f1fef0538cba14d5d5da277b670b6d96a6f

Aliases

arxiv: 1907.09051 · arxiv_version: 1907.09051v1 · doi: 10.48550/arxiv.1907.09051 · pith_short_12: D6AMIVQLD5OA · pith_short_16: D6AMIVQLD5OAOE4A · pith_short_8: D6AMIVQL

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/D6AMIVQLD5OAOE4ADQPX7PU7D7 \
  | 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: 1f80c4560b1f5c0713801c1f7fbe9f1fef0538cba14d5d5da277b670b6d96a6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b9eb180616c944b8c40d50f2975ea614b65cef3665d63179443ee7d6dd7e0aa",
    "cross_cats_sorted": [
      "math.OA",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-07-21T23:21:08Z",
    "title_canon_sha256": "cce62a51856caf19290f11482eeb10032489a1ecfa0e5fb7d24cdf7819ab2650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09051",
    "kind": "arxiv",
    "version": 1
  }
}