Pith Number

pith:R7OHTX3Y

pith:2013:R7OHTX3YQA656VCRLUZSLXELDU

not attested not anchored not stored refs pending

Global dimensions of rings with respect to a semidualizing module

Guoqiang Zhao, Juxiang Sun

arxiv:1307.0628 v1 · 2013-07-02 · 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{R7OHTX3YQA656VCRLUZSLXELDU}

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	2026-05-18T03:19:25.063779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fdc79df78803ddf54515d3325dc8b1d0afe8496df860a9e6c6334ebf26de3dc

Aliases

arxiv: 1307.0628 · arxiv_version: 1307.0628v1 · doi: 10.48550/arxiv.1307.0628 · pith_short_12: R7OHTX3YQA65 · pith_short_16: R7OHTX3YQA656VCR · pith_short_8: R7OHTX3Y

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/R7OHTX3YQA656VCRLUZSLXELDU \
  | 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: 8fdc79df78803ddf54515d3325dc8b1d0afe8496df860a9e6c6334ebf26de3dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9d22a087156ab4adc4ffb6974e445e29baac54c92f7eda63e33fb41fc25dfbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-07-02T08:51:32Z",
    "title_canon_sha256": "9492c2b2b486c619f48e494ab2e5f0fa4bf7f6f0b1bae780a3b7872b962a34a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0628",
    "kind": "arxiv",
    "version": 1
  }
}