Pith Number

pith:ZK7WALRV

pith:2004:ZK7WALRVILWGPQXU3ADTDXNMXH

not attested not anchored not stored refs pending

Loday--Quillen--Tsygan Theorem for Coalgebras

Atabey Kaygun

arxiv:math/0411661 v1 · 2004-11-30 · 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{ZK7WALRVILWGPQXU3ADTDXNMXH}

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.

Cited by

1 paper in Pith

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories

Receipt and verification

First computed	2026-07-04T14:39:25.180620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cabf602e3542ec67c2f4d80731ddacb9d7d7ec33f931f18aee7a168fe87e5fd7

Aliases

arxiv: math/0411661 · arxiv_version: math/0411661v1 · doi: 10.48550/arxiv.math/0411661 · pith_short_12: ZK7WALRVILWG · pith_short_16: ZK7WALRVILWGPQXU · pith_short_8: ZK7WALRV

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/ZK7WALRVILWGPQXU3ADTDXNMXH \
  | 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: cabf602e3542ec67c2f4d80731ddacb9d7d7ec33f931f18aee7a168fe87e5fd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6f6fb6f34766a65727732805f9acb55ec1cdf43fbaed3df1bb78df8e094015f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2004-11-30T16:34:09Z",
    "title_canon_sha256": "8be7cea31ff534f662d9d41d488928b95778bd5ed6252cc9aa1769c9a4aef6a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411661",
    "kind": "arxiv",
    "version": 1
  }
}