Pith Number

pith:GF4K6ZRQ

pith:2007:GF4K6ZRQUMFONXEONHEIX6GAA3

not attested not anchored not stored refs pending

Zeroth Hochschild homology of preprojective algebras over the integers

Travis Schedler

arxiv:0704.3278 v3 · 2007-04-24 · math.RT · 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{GF4K6ZRQUMFONXEONHEIX6GAA3}

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	2026-05-18T01:13:29.095171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3178af6630a30ae6dc8e69c88bf8c006c7f2f28cd106c34c2583d4ec31594f78

Aliases

arxiv: 0704.3278 · arxiv_version: 0704.3278v3 · doi: 10.48550/arxiv.0704.3278 · pith_short_12: GF4K6ZRQUMFO · pith_short_16: GF4K6ZRQUMFONXEO · pith_short_8: GF4K6ZRQ

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/GF4K6ZRQUMFONXEONHEIX6GAA3 \
  | 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: 3178af6630a30ae6dc8e69c88bf8c006c7f2f28cd106c34c2583d4ec31594f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bda5e271c0dedfeb3d43860e4aa0aa26795c7e22fde2b499a7f5a743383670b2",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2007-04-24T22:05:29Z",
    "title_canon_sha256": "e09fa2f8ab28839b0bf2c92de042b85a5971cc44d936af8af1059ac8f9ab514a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.3278",
    "kind": "arxiv",
    "version": 3
  }
}