Pith Number

pith:DMINJ7ZQ

pith:2024:DMINJ7ZQDHJWP3JXSDNY5WNE7A

not attested not anchored not stored refs pending

Twisted tensor product of dg categories and Kontsevich's Swiss Cheese conjecture

Boris Shoikhet, Michael Batanin

arxiv:2412.03239 v2 · 2024-12-04 · math.CT · 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{DMINJ7ZQDHJWP3JXSDNY5WNE7A}

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	2026-07-05T09:49:46.963255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b10d4ff3019d367ed3790db8ed9a4f807c001ca59b046b40790ed1d4bb67a4f

Aliases

arxiv: 2412.03239 · arxiv_version: 2412.03239v2 · doi: 10.48550/arxiv.2412.03239 · pith_short_12: DMINJ7ZQDHJW · pith_short_16: DMINJ7ZQDHJWP3JX · pith_short_8: DMINJ7ZQ

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/DMINJ7ZQDHJWP3JXSDNY5WNE7A \
  | 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: 1b10d4ff3019d367ed3790db8ed9a4f807c001ca59b046b40790ed1d4bb67a4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c1fb66c04cb04705d34c877af7c20ba79b2de0b34736335da89c399834c5cae",
    "cross_cats_sorted": [
      "math.KT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-12-04T11:42:02Z",
    "title_canon_sha256": "00a7690be50beee1ed7e1742f05246a79315907ac47c9688b5fbaeae834ae968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.03239",
    "kind": "arxiv",
    "version": 2
  }
}