Pith Number

pith:KDBJKXIE

pith:2016:KDBJKXIEWPHOM544FDSJ3V7VLU

not attested not anchored not stored refs pending

Finitely generated modules over quasi-Euclidean rings

Luc Guyot

arxiv:1604.07813 v2 · 2016-04-26 · math.AC · 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{KDBJKXIEWPHOM544FDSJ3V7VLU}

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	2026-05-18T00:51:30.389728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50c2955d04b3cee6779c28e49dd7f55d1c55368dbcbe251b079e973803845271

Aliases

arxiv: 1604.07813 · arxiv_version: 1604.07813v2 · doi: 10.48550/arxiv.1604.07813 · pith_short_12: KDBJKXIEWPHO · pith_short_16: KDBJKXIEWPHOM544 · pith_short_8: KDBJKXIE

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/KDBJKXIEWPHOM544FDSJ3V7VLU \
  | 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: 50c2955d04b3cee6779c28e49dd7f55d1c55368dbcbe251b079e973803845271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e6de3087899f5c9a210a987ac2963108f9bc88a7bb6e03f3b2a4bc7c3c38da9",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-04-26T19:37:15Z",
    "title_canon_sha256": "fe392999bf4c19eeef840d8a5b54956045f36e2e480a99471a7d77575ac22d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07813",
    "kind": "arxiv",
    "version": 2
  }
}