Pith Number

pith:KGO7347O

pith:2015:KGO7347OKWAGCCIVMBWDYFRIPN

not attested not anchored not stored refs pending

One-tilting classes and modules over commutative rings

Michal Hrbek

arxiv:1507.02811 v2 · 2015-07-10 · math.AC · math.CT · math.RA · 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{KGO7347OKWAGCCIVMBWDYFRIPN}

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	2026-05-18T01:12:59.759443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

519dfdf3ee5580610915606c3c16287b52ba5f3303a1fbbc943be46e1c461055

Aliases

arxiv: 1507.02811 · arxiv_version: 1507.02811v2 · doi: 10.48550/arxiv.1507.02811 · pith_short_12: KGO7347OKWAG · pith_short_16: KGO7347OKWAGCCIV · pith_short_8: KGO7347O

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/KGO7347OKWAGCCIVMBWDYFRIPN \
  | 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: 519dfdf3ee5580610915606c3c16287b52ba5f3303a1fbbc943be46e1c461055

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe62bc061e3049f2986e07ac35bfc5c7598afa12d312bb0e0c15f6886d5756bd",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-07-10T09:09:35Z",
    "title_canon_sha256": "9278d6dae41d6f6116d9b6b6c0d883898d12ce7688be4ef0f3c858e6cb9f84ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02811",
    "kind": "arxiv",
    "version": 2
  }
}