Pith Number

pith:TTAKMIE2

pith:2012:TTAKMIE2L4DKNF6NIRENV3PUPY

not attested not anchored not stored refs pending

Endomorphism rings of modules over prime rings

Christian Lomp, Mohammad Baziar

arxiv:1207.4228 v1 · 2012-07-17 · 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{TTAKMIE2L4DKNF6NIRENV3PUPY}

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	2026-05-18T01:04:41.969677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cc0a6209a5f06a697cd4448daedf47e09ea0b9c711b46c68afeac6815dea404

Aliases

arxiv: 1207.4228 · arxiv_version: 1207.4228v1 · doi: 10.48550/arxiv.1207.4228 · pith_short_12: TTAKMIE2L4DK · pith_short_16: TTAKMIE2L4DKNF6N · pith_short_8: TTAKMIE2

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/TTAKMIE2L4DKNF6NIRENV3PUPY \
  | 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: 9cc0a6209a5f06a697cd4448daedf47e09ea0b9c711b46c68afeac6815dea404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f21a1a23ccdeed960102a88d0b8e915364d348b87ec7db8165b26484e06736f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-17T22:21:09Z",
    "title_canon_sha256": "3698f4a6df173e2849b72a57282cdf91abb3023289800d370b79557bc27fcd76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4228",
    "kind": "arxiv",
    "version": 1
  }
}