Pith Number

pith:NASCNIPL

pith:2015:NASCNIPLVOAAZ33Q2ATLXQX3MJ

not attested not anchored not stored refs pending

Crossed module actions on continuous trace $C^*$-algebras

Ralf Meyer, Ulrich Pennig

arxiv:1506.01311 v2 · 2015-06-03 · math.OA · 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{NASCNIPLVOAAZ33Q2ATLXQX3MJ}

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	2026-05-18T00:51:03.418390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

682426a1ebab800cef70d026bbc2fb626cc999121f3768b3c07f33da3c9b8db5

Aliases

arxiv: 1506.01311 · arxiv_version: 1506.01311v2 · doi: 10.48550/arxiv.1506.01311 · pith_short_12: NASCNIPLVOAA · pith_short_16: NASCNIPLVOAAZ33Q · pith_short_8: NASCNIPL

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/NASCNIPLVOAAZ33Q2ATLXQX3MJ \
  | 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: 682426a1ebab800cef70d026bbc2fb626cc999121f3768b3c07f33da3c9b8db5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4563007113312bf643f67f238e52077b251783f732a36410e176678293d9643a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-06-03T16:58:45Z",
    "title_canon_sha256": "89d7fd5807677c9432084af817c7281d6e704f6d2a128900c5c212f4a304cdc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01311",
    "kind": "arxiv",
    "version": 2
  }
}