Pith Number

pith:LDYS7R6H

pith:2019:LDYS7R6HJEOQE4GA26MIIA5J7I

not attested not anchored not stored refs pending

Spectral analysis of matrix scaling and operator scaling

Akshay Ramachandran, Lap Chi Lau, Tsz Chiu Kwok

arxiv:1904.03213 v1 · 2019-04-05 · cs.DS · math.FA · math.OC · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDYS7R6HJEOQE4GA26MIIA5J7I}

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	2026-05-17T23:49:14.207747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58f12fc7c7491d0270c0d7988403a9fa16e1e18bb5e7e22831bdd828ceb08bc6

Aliases

arxiv: 1904.03213 · arxiv_version: 1904.03213v1 · doi: 10.48550/arxiv.1904.03213 · pith_short_12: LDYS7R6HJEOQ · pith_short_16: LDYS7R6HJEOQE4GA · pith_short_8: LDYS7R6H

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/LDYS7R6HJEOQE4GA26MIIA5J7I \
  | 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: 58f12fc7c7491d0270c0d7988403a9fa16e1e18bb5e7e22831bdd828ceb08bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d4e12d60f1bd18f6f10d7d9ba874757b8de36823c183e9d2dd8e0473f1ce694",
    "cross_cats_sorted": [
      "math.FA",
      "math.OC",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-04-05T18:12:15Z",
    "title_canon_sha256": "a4834cd128d8dc46dc5cd875ac8240cf5a9d26c4bf407615429554e9bb7024db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03213",
    "kind": "arxiv",
    "version": 1
  }
}