Pith Number

pith:Q6QVLBK6

pith:2012:Q6QVLBK6AX4QPLQUICRUK6SJDK

not attested not anchored not stored refs pending

Injective hulls of simple modules over differential operator rings

Can Hatipoglu, Christian Lomp, Paula A. A. B. Carvalho

arxiv:1211.2592 v2 · 2012-11-12 · 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{Q6QVLBK6AX4QPLQUICRUK6SJDK}

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	2026-05-18T01:04:41.955601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a155855e05f907ae1440a3457a491a8307118abf4c9890aa2f4f5740a5c8e5

Aliases

arxiv: 1211.2592 · arxiv_version: 1211.2592v2 · doi: 10.48550/arxiv.1211.2592 · pith_short_12: Q6QVLBK6AX4Q · pith_short_16: Q6QVLBK6AX4QPLQU · pith_short_8: Q6QVLBK6

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/Q6QVLBK6AX4QPLQUICRUK6SJDK \
  | 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: 87a155855e05f907ae1440a3457a491a8307118abf4c9890aa2f4f5740a5c8e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2764fa24ff6d4fcf002ae88d579f9d08a300601e1d71b11433678d7578f0004e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-11-12T12:39:59Z",
    "title_canon_sha256": "7ad80795343558087648c8d00c919962e0e6126571d1de079801ef856579839b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2592",
    "kind": "arxiv",
    "version": 2
  }
}