Pith Number

pith:2V535J3D

pith:2010:2V535J3D2PHXTWIFZ3PJBLU3L7

not attested not anchored not stored refs pending

Noncommutative generalizations of theorems of Cohen and Kaplansky

Manuel L. Reyes

arxiv:1007.3701 v2 · 2010-07-21 · 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{2V535J3D2PHXTWIFZ3PJBLU3L7}

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	2026-05-18T03:31:07.168760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d57bbea763d3cf79d905cede90ae9b5fd6c72fe7349a32973cb63b31a50162aa

Aliases

arxiv: 1007.3701 · arxiv_version: 1007.3701v2 · doi: 10.48550/arxiv.1007.3701 · pith_short_12: 2V535J3D2PHX · pith_short_16: 2V535J3D2PHXTWIF · pith_short_8: 2V535J3D

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/2V535J3D2PHXTWIFZ3PJBLU3L7 \
  | 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: d57bbea763d3cf79d905cede90ae9b5fd6c72fe7349a32973cb63b31a50162aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40f6684ea27072282615300696143bc597c9430d4f49ea21b1ab156feef83271",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-07-21T17:44:07Z",
    "title_canon_sha256": "96d4d91e8c1a4611fe3d59964befb4f2c3f51de09edadad2a8f4cf2067a55193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3701",
    "kind": "arxiv",
    "version": 2
  }
}