Pith Number

pith:ZDDE6CHB

pith:2012:ZDDE6CHBXFKJSGQKRE7VCRQMUR

not attested not anchored not stored refs pending

Measurable bundles of $C^*$-dynamical systems and its applications

Farrukh Mukhamedov, Inomjon Ganiev

arxiv:1201.4208 v1 · 2012-01-20 · math.OA · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDDE6CHBXFKJSGQKRE7VCRQMUR}

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	2026-05-18T02:27:49.828433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8c64f08e1b954991a0a893f51460ca47bf3c6caa732143f26fb60b1f76b8990

Aliases

arxiv: 1201.4208 · arxiv_version: 1201.4208v1 · doi: 10.48550/arxiv.1201.4208 · pith_short_12: ZDDE6CHBXFKJ · pith_short_16: ZDDE6CHBXFKJSGQK · pith_short_8: ZDDE6CHB

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/ZDDE6CHBXFKJSGQKRE7VCRQMUR \
  | 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: c8c64f08e1b954991a0a893f51460ca47bf3c6caa732143f26fb60b1f76b8990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f7b440b3726e25ba98bb2cde8f0fce9ad0d2c289f84fac6907cd04e8d46d0ce",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-01-20T05:14:52Z",
    "title_canon_sha256": "b9159f8bd988bb7f756407a31e2a19a09b42615d2913312d5ad3f8008612f1e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4208",
    "kind": "arxiv",
    "version": 1
  }
}