Pith Number

pith:6CUDQFPP

pith:2017:6CUDQFPP4FDETADMA2XF5JWXB4

not attested not anchored not stored refs pending

On right $S$-Noetherian rings and $S$-Noetherian modules

Manuel L. Reyes, \"Unsal Tekir, Zehra Bilgin

arxiv:1701.07207 v4 · 2017-01-25 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CUDQFPP4FDETADMA2XF5JWXB4}

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	2026-05-18T00:38:09.018794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0a83815efe14649806c06ae5ea6d70f1671cbce1893cef63e49496ad6927bc6

Aliases

arxiv: 1701.07207 · arxiv_version: 1701.07207v4 · doi: 10.48550/arxiv.1701.07207 · pith_short_12: 6CUDQFPP4FDE · pith_short_16: 6CUDQFPP4FDETADM · pith_short_8: 6CUDQFPP

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/6CUDQFPP4FDETADMA2XF5JWXB4 \
  | 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: f0a83815efe14649806c06ae5ea6d70f1671cbce1893cef63e49496ad6927bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24ea91022b376d9c7ec62826b2efe694de29b1b41583eafddd80ce6a60a6f620",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-01-25T08:47:39Z",
    "title_canon_sha256": "c1325dc180df76bf4796306d0510527a1cedd057e92f5e22e555952ea404ebeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07207",
    "kind": "arxiv",
    "version": 4
  }
}