Pith Number

pith:SM5EYOQP

pith:2015:SM5EYOQPB2TPKYFPAN72UKGVRF

not attested not anchored not stored refs pending

Stable functors of derived equivalences and Gorenstein projective modules

Shengyong Pan, Wei Hu

arxiv:1512.06522 v1 · 2015-12-21 · math.RT · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SM5EYOQPB2TPKYFPAN72UKGVRF}

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	2026-05-18T00:16:39.213813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

933a4c3a0f0ea6f560af037faa28d58951e45bde033c6cf0c872480e6e3e4a6e

Aliases

arxiv: 1512.06522 · arxiv_version: 1512.06522v1 · doi: 10.48550/arxiv.1512.06522 · pith_short_12: SM5EYOQPB2TP · pith_short_16: SM5EYOQPB2TPKYFP · pith_short_8: SM5EYOQP

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/SM5EYOQPB2TPKYFPAN72UKGVRF \
  | 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: 933a4c3a0f0ea6f560af037faa28d58951e45bde033c6cf0c872480e6e3e4a6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5970f5450e88203c4af61b524eceb9846369e16a1d4bc15179045de919070cd",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-21T08:35:03Z",
    "title_canon_sha256": "80cb60da5f1d34276b7cf1c53e5797e6faf555b642c20fa84a0da440b156497d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06522",
    "kind": "arxiv",
    "version": 1
  }
}