Pith Number

pith:IWURUTOO

pith:2019:IWURUTOOIGLGSV625MOOEHBARH

not attested not anchored not stored refs pending

Inverse problems for symmetric doubly stochastic matrices whose Sule\u{i}manova spectra are bounded below by 1/2

Michal Gnacik, Tomasz Kania

arxiv:1909.01291 v3 · 2019-09-03 · math.SP · cs.NA · math.NA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWURUTOOIGLGSV625MOOEHBARH}

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	2026-07-05T00:35:33.271281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45a91a4dce41966957daeb1ce21c2089db82966a8b6d86a39b84b2e01f325aca

Aliases

arxiv: 1909.01291 · arxiv_version: 1909.01291v3 · doi: 10.48550/arxiv.1909.01291 · pith_short_12: IWURUTOOIGLG · pith_short_16: IWURUTOOIGLGSV62 · pith_short_8: IWURUTOO

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/IWURUTOOIGLGSV625MOOEHBARH \
  | 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: 45a91a4dce41966957daeb1ce21c2089db82966a8b6d86a39b84b2e01f325aca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dc24ac028bc67d71e751ae2aa277203d3381a82e3dca304e52c1a3e8b5957dc",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-09-03T16:35:32Z",
    "title_canon_sha256": "d9d3d27cc4429e48fd7b672936d1cbf3741a07a900c47dc54a960da8f8506990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01291",
    "kind": "arxiv",
    "version": 3
  }
}