Pith Number

pith:V6PRSODH

pith:2012:V6PRSODHF532BTMO67KIRUOSBV

not attested not anchored not stored refs pending

Extensions of Hilbert C*-modules: classification in simple cases

Jingming Zhu, Vladimir Manuilov

arxiv:1203.3875 v1 · 2012-03-17 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6PRSODHF532BTMO67KIRUOSBV}

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	2026-05-18T03:59:48.746680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af9f1938672f77a0cd8ef7d488d1d20d5ab4ae544eec46c10c5b35a368740ff9

Aliases

arxiv: 1203.3875 · arxiv_version: 1203.3875v1 · doi: 10.48550/arxiv.1203.3875 · pith_short_12: V6PRSODHF532 · pith_short_16: V6PRSODHF532BTMO · pith_short_8: V6PRSODH

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/V6PRSODHF532BTMO67KIRUOSBV \
  | 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: af9f1938672f77a0cd8ef7d488d1d20d5ab4ae544eec46c10c5b35a368740ff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2364471de9cbb062a9b8c068c11b49e181a573e2854f3c78fb21a8434b0cb42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-03-17T17:06:23Z",
    "title_canon_sha256": "2ef3112fcb1818a46c7881b05140f3b474464753e91a7ff456713a4cc5bf59ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3875",
    "kind": "arxiv",
    "version": 1
  }
}