Pith Number

pith:ALXXBHNG

pith:2011:ALXXBHNGMUVCLTBFP5VRXA5G2J

not attested not anchored not stored refs pending

An MDL framework for sparse coding and dictionary learning

Guillermo Sapiro (University of Minnesota), Ignacio Ram\'irez

arxiv:1110.2436 v1 · 2011-10-11 · cs.IT · math.IT · 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{ALXXBHNGMUVCLTBFP5VRXA5G2J}

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	2026-05-18T00:45:52.694066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02ef709da6652a25cc257f6b1b83a6d278da37fbb5b2691193d3ef8ef5a2f950

Aliases

arxiv: 1110.2436 · arxiv_version: 1110.2436v1 · doi: 10.48550/arxiv.1110.2436 · pith_short_12: ALXXBHNGMUVC · pith_short_16: ALXXBHNGMUVCLTBF · pith_short_8: ALXXBHNG

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/ALXXBHNGMUVCLTBFP5VRXA5G2J \
  | 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: 02ef709da6652a25cc257f6b1b83a6d278da37fbb5b2691193d3ef8ef5a2f950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09fc551d25751235236c0416f87b3a39b36ccfbf85ce65b6ef9ebd10cc83b76f",
    "cross_cats_sorted": [
      "math.IT",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-10-11T17:06:37Z",
    "title_canon_sha256": "643a08a0b79a68fb71bc8a6e63c322f0a5f3ac09380ca4d476e1ddeee9ce6d2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2436",
    "kind": "arxiv",
    "version": 1
  }
}