Pith Number

pith:BGU5MREJ

pith:2013:BGU5MREJ67XWRSPYUHMLZSG67S

not attested not anchored not stored refs pending

Complete characterization of Hadamard powers preserving Loewner positivity, monotonicity, and convexity

Apoorva Khare, Bala Rajaratnam, Dominique Guillot

arxiv:1311.1581 v2 · 2013-11-07 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGU5MREJ67XWRSPYUHMLZSG67S}

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	2026-05-18T02:26:53.045388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09a9d64489f7ef68c9f8a1d8bcc8defca2261a1ca33ad6834412287cf6ff87e0

Aliases

arxiv: 1311.1581 · arxiv_version: 1311.1581v2 · doi: 10.48550/arxiv.1311.1581 · pith_short_12: BGU5MREJ67XW · pith_short_16: BGU5MREJ67XWRSPY · pith_short_8: BGU5MREJ

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/BGU5MREJ67XWRSPYUHMLZSG67S \
  | 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: 09a9d64489f7ef68c9f8a1d8bcc8defca2261a1ca33ad6834412287cf6ff87e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d37e4daf011388649256917a1c2b3b581111e359bf7f74c894d2bd949b93f72",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-07T05:33:09Z",
    "title_canon_sha256": "c8484fa5b6d6a469b2160071b3075e534dbd81d241c4443651015b3f98d322da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1581",
    "kind": "arxiv",
    "version": 2
  }
}