Pith Number

pith:NGZ6USJD

pith:2014:NGZ6USJDOI2YLFV72JPHKQVDJT

not attested not anchored not stored refs pending

Stable torsion theories and the injective hulls of simple modules

Can Hatipo\u{g}lu

arxiv:1402.3157 v1 · 2014-02-13 · 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{NGZ6USJDOI2YLFV72JPHKQVDJT}

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	2026-05-18T02:59:07.489723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b3ea492372358596bfd25e7542a34cea3849b5e14708d605ad0169c996826a

Aliases

arxiv: 1402.3157 · arxiv_version: 1402.3157v1 · doi: 10.48550/arxiv.1402.3157 · pith_short_12: NGZ6USJDOI2Y · pith_short_16: NGZ6USJDOI2YLFV7 · pith_short_8: NGZ6USJD

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/NGZ6USJDOI2YLFV72JPHKQVDJT \
  | 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: 69b3ea492372358596bfd25e7542a34cea3849b5e14708d605ad0169c996826a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef4576c89b714191a716f8e4a70aa041ac24ed5ab2655dbd28d3559127eeffaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-02-13T14:50:08Z",
    "title_canon_sha256": "578956dd174f703847b2ebaf2c01fb2e36e96b3a58ce4580f9b2474a7c14f9bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3157",
    "kind": "arxiv",
    "version": 1
  }
}