Pith Number

pith:P3ZVCQI3

pith:2013:P3ZVCQI3BREEYFIZ5ECY3HC66R

not attested not anchored not stored refs pending

Cyclically presented modules, projective covers and factorizations

Alberto Facchini, Daniel Smertnig, Nguyen Khanh Tung

arxiv:1306.5710 v1 · 2013-06-24 · 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{P3ZVCQI3BREEYFIZ5ECY3HC66R}

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	2026-05-18T01:36:21.084233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ef351411b0c484c1519e9058d9c5ef453d2fef743cdad6f26720f8f444aaf75

Aliases

arxiv: 1306.5710 · arxiv_version: 1306.5710v1 · doi: 10.48550/arxiv.1306.5710 · pith_short_12: P3ZVCQI3BREE · pith_short_16: P3ZVCQI3BREEYFIZ · pith_short_8: P3ZVCQI3

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/P3ZVCQI3BREEYFIZ5ECY3HC66R \
  | 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: 7ef351411b0c484c1519e9058d9c5ef453d2fef743cdad6f26720f8f444aaf75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1555b13f934168982ba0523cdd2f254be63edbe2289150ff2e8a81457b67ff24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-06-24T19:06:51Z",
    "title_canon_sha256": "e2eaf57040242aadc7c19561636bc20ba2e6bae38dc4503b7931654afd62cd7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5710",
    "kind": "arxiv",
    "version": 1
  }
}