Pith Number

pith:6F7TMU4K

pith:2016:6F7TMU4K3SW5BC72BMSUM6TLZJ

not attested not anchored not stored refs pending

Understanding Trainable Sparse Coding via Matrix Factorization

Joan Bruna, Thomas Moreau

arxiv:1609.00285 v4 · 2016-09-01 · 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{6F7TMU4K3SW5BC72BMSUM6TLZJ}

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	2026-05-18T00:43:35.663048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f17f36538adcadd08bfa0b25467a6bca7aac722c0deec0d6d41b94419d39c7b8

Aliases

arxiv: 1609.00285 · arxiv_version: 1609.00285v4 · doi: 10.48550/arxiv.1609.00285 · pith_short_12: 6F7TMU4K3SW5 · pith_short_16: 6F7TMU4K3SW5BC72 · pith_short_8: 6F7TMU4K

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/6F7TMU4K3SW5BC72BMSUM6TLZJ \
  | 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: f17f36538adcadd08bfa0b25467a6bca7aac722c0deec0d6d41b94419d39c7b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30f273290219c36a7136105c7114f8a20fc60d75a8d2227df13ec74dcd044d0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-09-01T15:46:07Z",
    "title_canon_sha256": "d1ec9415e5d0065a5ba183896e5c663e386e3657111c6da8e2ddaa764fca5b13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00285",
    "kind": "arxiv",
    "version": 4
  }
}