Pith Number

pith:DQQSWDKT

pith:2015:DQQSWDKTHEZU7VQEIRIWR7G7OT

not attested not anchored not stored refs pending

Improved operator Kantorovich and Wielandt inequalities for positive linear maps

Junliang Wu, Wenshi Liao

arxiv:1501.03006 v1 · 2015-01-13 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQQSWDKTHEZU7VQEIRIWR7G7OT}

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	2026-05-18T02:29:30.689969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c212b0d5339334fd604445168fcdf74cd06bcb95821da17c49f65ff97706036

Aliases

arxiv: 1501.03006 · arxiv_version: 1501.03006v1 · doi: 10.48550/arxiv.1501.03006 · pith_short_12: DQQSWDKTHEZU · pith_short_16: DQQSWDKTHEZU7VQE · pith_short_8: DQQSWDKT

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/DQQSWDKTHEZU7VQEIRIWR7G7OT \
  | 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: 1c212b0d5339334fd604445168fcdf74cd06bcb95821da17c49f65ff97706036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daac04888fd376c26c5925a242e32183741a98c5d9b96d46077925d7fc647c96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-01-13T13:58:29Z",
    "title_canon_sha256": "0b4d6b620a5d7ee92ffa408b05ac3b08c8d155808721f74dd58c2b673199f3c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03006",
    "kind": "arxiv",
    "version": 1
  }
}