Pith Number

pith:64XKPXW2

pith:2010:64XKPXW2FEYMRSSEQR76WKKZ2W

not attested not anchored not stored refs pending

Prime fuzzy ideals over noncommutative rings

F. J. Lobillo, Gabriel Navarro, Oscar Cortadellas

arxiv:1012.5575 v2 · 2010-12-27 · 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{64XKPXW2FEYMRSSEQR76WKKZ2W}

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	2026-05-18T01:01:29.774653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f72ea7deda2930c8ca44847feb2959d5ab3daa4abaea227da7a0044cd96ae44a

Aliases

arxiv: 1012.5575 · arxiv_version: 1012.5575v2 · doi: 10.48550/arxiv.1012.5575 · pith_short_12: 64XKPXW2FEYM · pith_short_16: 64XKPXW2FEYMRSSE · pith_short_8: 64XKPXW2

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/64XKPXW2FEYMRSSEQR76WKKZ2W \
  | 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: f72ea7deda2930c8ca44847feb2959d5ab3daa4abaea227da7a0044cd96ae44a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c500e91d7ada52a40bda34fa4086813c21dbdefa2c0790c314b74283a9d1b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-12-27T08:08:35Z",
    "title_canon_sha256": "28d19582d83b207c9db0838d3b3da107636eb161bc3e4ec8dd53b165fca5b1c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5575",
    "kind": "arxiv",
    "version": 2
  }
}