Pith Number

pith:WKKZ53EH

pith:2012:WKKZ53EH6KGXZGF26MFPENS7DO

not attested not anchored not stored refs pending

Analysis of Sparse Representations Using Bi-Orthogonal Dictionaries

Erik Aurell, Lars Rasmussen, Mikael Skoglund, Mikko Vehkaper\"a, Saikat Chatterjee, Yoshiyuki Kabashima

arxiv:1204.4065 v2 · 2012-04-18 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKKZ53EH6KGXZGF26MFPENS7DO}

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	2026-05-18T03:25:16.304578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2959eec87f28d7c98baf30af2365f1b84506033b3e97eda9386a4b34c6c3153

Aliases

arxiv: 1204.4065 · arxiv_version: 1204.4065v2 · doi: 10.48550/arxiv.1204.4065 · pith_short_12: WKKZ53EH6KGX · pith_short_16: WKKZ53EH6KGXZGF2 · pith_short_8: WKKZ53EH

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/WKKZ53EH6KGXZGF26MFPENS7DO \
  | 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: b2959eec87f28d7c98baf30af2365f1b84506033b3e97eda9386a4b34c6c3153

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5a52c92ae463b31f3053eeae5063d609eaa02670fe005e6e4709d649ec417d0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-04-18T12:16:55Z",
    "title_canon_sha256": "c013c6fbcdf74e614f6db5a47a03000bac2bd5fe1fd3f100c467f1e983e3b2f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4065",
    "kind": "arxiv",
    "version": 2
  }
}