Pith Number

pith:W35XRDNY

pith:2012:W35XRDNYB35XUH7Y7OIASHTFT6

not attested not anchored not stored refs pending

On the first Hochschild cohomology group of a cluster-tilted algebra

Ibrahim Assem, Maria Redondo, Ralf Schiffler

arxiv:1204.1607 v2 · 2012-04-07 · 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{W35XRDNYB35XUH7Y7OIASHTFT6}

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	2026-05-18T01:49:56.277167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6fb788db80efb7a1ff8fb90091e659fbc361dd689586e15d8bfd6301bdd9f31

Aliases

arxiv: 1204.1607 · arxiv_version: 1204.1607v2 · doi: 10.48550/arxiv.1204.1607 · pith_short_12: W35XRDNYB35X · pith_short_16: W35XRDNYB35XUH7Y · pith_short_8: W35XRDNY

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/W35XRDNYB35XUH7Y7OIASHTFT6 \
  | 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: b6fb788db80efb7a1ff8fb90091e659fbc361dd689586e15d8bfd6301bdd9f31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06a9c1c1b9d64a1a7554ef5cdb426940c79d1cde1c45e642c28a424f8c7a7222",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-04-07T07:10:26Z",
    "title_canon_sha256": "b1514d4dc176781a726e9264c415a612e8417fd940ddcb4be41598187202f0c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1607",
    "kind": "arxiv",
    "version": 2
  }
}