Pith Number

pith:3LYQJKXL

pith:2008:3LYQJKXLU7AS5QZ4X5OFCP3653

not attested not anchored not stored refs pending

Formality theorems for Hochschild complexes and their applications

B.L. Tsygan, D.E. Tamarkin, V.A. Dolgushev

arxiv:0901.0069 v2 · 2008-12-31 · 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{3LYQJKXLU7AS5QZ4X5OFCP3653}

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	2026-05-18T02:15:03.562597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daf104aaeba7c12ec33cbf5c513f7eeefee1b866ab927d847a23a16aae3c2859

Aliases

arxiv: 0901.0069 · arxiv_version: 0901.0069v2 · doi: 10.48550/arxiv.0901.0069 · pith_short_12: 3LYQJKXLU7AS · pith_short_16: 3LYQJKXLU7AS5QZ4 · pith_short_8: 3LYQJKXL

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/3LYQJKXLU7AS5QZ4X5OFCP3653 \
  | 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: daf104aaeba7c12ec33cbf5c513f7eeefee1b866ab927d847a23a16aae3c2859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c31e32e206aa0c8340abe441220944117b1fd588bc8167bcadee8991058e45e7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2008-12-31T07:54:53Z",
    "title_canon_sha256": "ba245476d24701693e6905d23728ddfe3ee418025bd2791c6dffa836ea38efe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0069",
    "kind": "arxiv",
    "version": 2
  }
}