Pith Number

pith:ZCWSLWWZ

pith:2015:ZCWSLWWZKOFU5KVEYEBLDLMSWF

not attested not anchored not stored refs pending

Learning Co-Sparse Analysis Operators with Separable Structures

Julian W\"ormann, Martin Kleinsteuber, Matthias Seibert, R\'emi Gribonval

arxiv:1503.02398 v5 · 2015-03-09 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCWSLWWZKOFU5KVEYEBLDLMSWF}

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	2026-05-18T01:31:03.210897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ad25dad9538b4eaaa4c102b1ad92b1580391ec4cd43324e8c817ea93f34118

Aliases

arxiv: 1503.02398 · arxiv_version: 1503.02398v5 · doi: 10.48550/arxiv.1503.02398 · pith_short_12: ZCWSLWWZKOFU · pith_short_16: ZCWSLWWZKOFU5KVE · pith_short_8: ZCWSLWWZ

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/ZCWSLWWZKOFU5KVEYEBLDLMSWF \
  | 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: c8ad25dad9538b4eaaa4c102b1ad92b1580391ec4cd43324e8c817ea93f34118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a265f3bf4be257ebce4eb3f541336f0033f6c6d3a2675fb3d1bf4203a288f0e",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-03-09T08:53:33Z",
    "title_canon_sha256": "623a85c75ed0a9daf24c1962661b5e2b9353f449502cb02ef63ade33d06f4b0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02398",
    "kind": "arxiv",
    "version": 5
  }
}