Pith Number

pith:MIRB7AWP

pith:2011:MIRB7AWPCWQN7S5IP5AJVBMWSW

not attested not anchored not stored refs pending

The Gabriel-Roiter filtration of the Ziegler spectrum

Henning Krause, Mike Prest

arxiv:1112.0799 v1 · 2011-12-04 · math.RT · math.LO · 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{MIRB7AWPCWQN7S5IP5AJVBMWSW}

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	2026-05-18T04:07:04.936476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62221f82cf15a0dfcba87f409a859695805d12141b85e5517cc27904a59c98ee

Aliases

arxiv: 1112.0799 · arxiv_version: 1112.0799v1 · doi: 10.48550/arxiv.1112.0799 · pith_short_12: MIRB7AWPCWQN · pith_short_16: MIRB7AWPCWQN7S5I · pith_short_8: MIRB7AWP

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/MIRB7AWPCWQN7S5IP5AJVBMWSW \
  | 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: 62221f82cf15a0dfcba87f409a859695805d12141b85e5517cc27904a59c98ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a58e85171c01955ebe61e5f15b1124938234206d1325dfbc5ed819bc9b5d761",
    "cross_cats_sorted": [
      "math.LO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-04T22:00:59Z",
    "title_canon_sha256": "c8de4c2b00a9d697cdab1c217f405ae5c9639143f8cbd56a776fe9fabdd29f27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0799",
    "kind": "arxiv",
    "version": 1
  }
}