Pith Number

pith:FZ5FQ5XO

pith:2016:FZ5FQ5XOLRKJG36RGJK5SCEKFY

not attested not anchored not stored refs pending

On n-Trivial Extensions of Rings

Abdulaziz Shaiea, Brahim Fahid, D. D. Anderson, Driss Bennis

arxiv:1604.01486 v2 · 2016-04-06 · 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{FZ5FQ5XOLRKJG36RGJK5SCEKFY}

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	2026-05-18T01:03:32.602738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e7a5876ee5c54936fd13255d9088a2e0be99d0c3ccde881e18a84919f4ef6dd

Aliases

arxiv: 1604.01486 · arxiv_version: 1604.01486v2 · doi: 10.48550/arxiv.1604.01486 · pith_short_12: FZ5FQ5XOLRKJ · pith_short_16: FZ5FQ5XOLRKJG36R · pith_short_8: FZ5FQ5XO

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/FZ5FQ5XOLRKJG36RGJK5SCEKFY \
  | 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: 2e7a5876ee5c54936fd13255d9088a2e0be99d0c3ccde881e18a84919f4ef6dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20f97b2a7398392b2a9567c6c2112d0619b64e5d7350d1ed788b0ea5d8baccdb",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-04-06T05:18:55Z",
    "title_canon_sha256": "1ffd03acc2cd0dde096e745ea9293ec347d4ca79c5872137229a8c0108490dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01486",
    "kind": "arxiv",
    "version": 2
  }
}