Pith Number

pith:GMBSBGUD

pith:2017:GMBSBGUDR6ZNHP3UPSV3YCC62L

not attested not anchored not stored refs pending

Gorenstein projective modules and Frobenius extensions

Wei Ren

arxiv:1707.05885 v1 · 2017-07-18 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMBSBGUDR6ZNHP3UPSV3YCC62L}

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	2026-05-18T00:39:59.031725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3303209a838fb2d3bf747cabbc085ed2e2aba80a6645353a522c7395afd68cb8

Aliases

arxiv: 1707.05885 · arxiv_version: 1707.05885v1 · doi: 10.48550/arxiv.1707.05885 · pith_short_12: GMBSBGUDR6ZN · pith_short_16: GMBSBGUDR6ZNHP3U · pith_short_8: GMBSBGUD

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/GMBSBGUDR6ZNHP3UPSV3YCC62L \
  | 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: 3303209a838fb2d3bf747cabbc085ed2e2aba80a6645353a522c7395afd68cb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689cf8c89228569f5ad612dc13bfff6341c22ea896005c3a6f45d94fc3bdd009",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2017-07-18T22:39:43Z",
    "title_canon_sha256": "7efb30d4855e45bc9ab0746182ff55371fdd1f13c7a8ed34d82529b0443b5e81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05885",
    "kind": "arxiv",
    "version": 1
  }
}