Pith Number

pith:4UI75YCN

pith:2015:4UI75YCNOY3HEXRHGNOLP5CSSI

not attested not anchored not stored refs pending

Hochschild cohomology of relation extension algebras

Ibrahim Assem, M. Andrea Gatica, Rachel Taillefer (LMBP), Ralf Schiffler

arxiv:1507.06142 v2 · 2015-07-22 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UI75YCNOY3HEXRHGNOLP5CSSI}

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	2026-05-18T01:21:31.828210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e511fee04d7636725e27335cb7f452921e8be9459d0fc028fb9e34515122c895

Aliases

arxiv: 1507.06142 · arxiv_version: 1507.06142v2 · doi: 10.48550/arxiv.1507.06142 · pith_short_12: 4UI75YCNOY3H · pith_short_16: 4UI75YCNOY3HEXRH · pith_short_8: 4UI75YCN

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/4UI75YCNOY3HEXRHGNOLP5CSSI \
  | 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: e511fee04d7636725e27335cb7f452921e8be9459d0fc028fb9e34515122c895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e583c1ad8d460fef7b3c97520c9cbb1295264717a6d689d5efcd3afed43ff24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-07-22T12:03:53Z",
    "title_canon_sha256": "5d5130bda73082ded9dec82bd616f6c86396d2013f23374f000d414b0d4f5a79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06142",
    "kind": "arxiv",
    "version": 2
  }
}