Pith Number

pith:2DAIG6OM

pith:2015:2DAIG6OMNUGBFARCLXWATYHRW3

not attested not anchored not stored refs pending

Traces of holomorphic families of operators on the noncommutative torus and on Hilbert modules

Carolina Neira Jim\'enez, Cyril L\'evy, Sara Azzali, Sylvie Paycha

arxiv:1501.06338 v1 · 2015-01-26 · math.OA · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DAIG6OMNUGBFARCLXWATYHRW3}

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	2026-05-18T02:28:41.728087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0c08379cc6d0c1282225dec09e0f1b6ca432ef9c0fa3e9eac73a4e5e7f443fe

Aliases

arxiv: 1501.06338 · arxiv_version: 1501.06338v1 · doi: 10.48550/arxiv.1501.06338 · pith_short_12: 2DAIG6OMNUGB · pith_short_16: 2DAIG6OMNUGBFARC · pith_short_8: 2DAIG6OM

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/2DAIG6OMNUGBFARCLXWATYHRW3 \
  | 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: d0c08379cc6d0c1282225dec09e0f1b6ca432ef9c0fa3e9eac73a4e5e7f443fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f56c3a11f7f1b40e1fb03bd14966428c93635f63ca65902503d7ec587e35dcc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-01-26T11:25:05Z",
    "title_canon_sha256": "b828d13285e551e291a006d6cded1f83e7bd5c804228f9f845e0a29126553a27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06338",
    "kind": "arxiv",
    "version": 1
  }
}