Pith Number

pith:MTNPQ54A

pith:2026:MTNPQ54ATTE2IB5VPRPILRBNHK

not attested not anchored not stored refs pending

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Obtuseness Ranking, Saturation Curves, and an Augmented Alt-LP Breakthrough

Mithil Ramteke

arxiv:2606.22451 v1 · 2026-06-21 · math.NA · cs.CG · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTNPQ54ATTE2IB5VPRPILRBNHK}

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.

Cited by

1 paper in Pith

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy

Receipt and verification

First computed	2026-06-23T02:13:38.705231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64daf877809cc9a407b57c5e85c42d3a9fdf284b2ce3ed1793dcccfe7de2fe8b

Aliases

arxiv: 2606.22451 · arxiv_version: 2606.22451v1 · doi: 10.48550/arxiv.2606.22451 · pith_short_12: MTNPQ54ATTE2 · pith_short_16: MTNPQ54ATTE2IB5V · pith_short_8: MTNPQ54A

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/MTNPQ54ATTE2IB5VPRPILRBNHK \
  | 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: 64daf877809cc9a407b57c5e85c42d3a9fdf284b2ce3ed1793dcccfe7de2fe8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "474b2d1fcc00034b746683bed242ba11d64f71fbef1fcd806d25c31a78ef11df",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-21T11:51:35Z",
    "title_canon_sha256": "f4136e0eaef449ca4e8fdcb79eeb28601638b04618c28cc99446f0e81e9ec3d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22451",
    "kind": "arxiv",
    "version": 1
  }
}