Pith Number

pith:ZNZ7YIKC

pith:2012:ZNZ7YIKCTK57ANAZU5SXD2LU2A

not attested not anchored not stored refs pending

Convex Algorithms for Nonnegative Matrix Factorization

Alexandre d'Aspremont, Vijay Krishnamurthy

arxiv:1207.0318 v1 · 2012-07-02 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNZ7YIKCTK57ANAZU5SXD2LU2A}

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	2026-05-18T03:51:59.635603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb73fc21429abbf03419a76571e974d0152cdbd46ac4afd1cbde1a4992a980ed

Aliases

arxiv: 1207.0318 · arxiv_version: 1207.0318v1 · doi: 10.48550/arxiv.1207.0318 · pith_short_12: ZNZ7YIKCTK57 · pith_short_16: ZNZ7YIKCTK57ANAZ · pith_short_8: ZNZ7YIKC

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/ZNZ7YIKCTK57ANAZU5SXD2LU2A \
  | 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: cb73fc21429abbf03419a76571e974d0152cdbd46ac4afd1cbde1a4992a980ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b16fbacf217f67a3550f1af3c8fd78aa0ddfe3872e3bebecc19899047d09e86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-07-02T09:41:35Z",
    "title_canon_sha256": "a5da82547b9997921e24f37ee7991511c588cf1888c17353e25db74dd5ce533e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0318",
    "kind": "arxiv",
    "version": 1
  }
}