Pith Number

pith:FWP3HEW7

pith:2012:FWP3HEW7UXJIDX6VLO2ITXCOYT

not attested not anchored not stored refs pending

Hochschild homology of Hopf algebras and free Yetter-Drinfeld resolutions of the counit

Julien Bichon

arxiv:1204.0687 v1 · 2012-04-03 · math.QA · math.KT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FWP3HEW7UXJIDX6VLO2ITXCOYT}

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	2026-05-17T23:53:18.809616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d9fb392dfa5d281dfd55bb489dc4ec4eec26d8671f54f9dcef1c0252bf76e19

Aliases

arxiv: 1204.0687 · arxiv_version: 1204.0687v1 · doi: 10.48550/arxiv.1204.0687 · pith_short_12: FWP3HEW7UXJI · pith_short_16: FWP3HEW7UXJIDX6V · pith_short_8: FWP3HEW7

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/FWP3HEW7UXJIDX6VLO2ITXCOYT \
  | 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: 2d9fb392dfa5d281dfd55bb489dc4ec4eec26d8671f54f9dcef1c0252bf76e19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a3d9460ccead3b2026a6f1541b17b2f1e0ab2ab22f7058bb40f6acdf9d38fd",
    "cross_cats_sorted": [
      "math.KT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-04-03T13:36:40Z",
    "title_canon_sha256": "a88d55f7016026cb567dfaa4f4849be26f74627c2ce1e8a18641a49fb76cef15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0687",
    "kind": "arxiv",
    "version": 1
  }
}