Pith Number

pith:4WPCUHM2

pith:2020:4WPCUHM27K3FUFBXVHUKCL44TD

not attested not anchored not stored refs pending

Conditional positive definiteness as a bridge between k-hyponormality and n-contractivity

Chafiq Benhida, George R. Exner, Raul E. Curto

arxiv:2012.10962 v2 · 2020-12-20 · 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{4WPCUHM27K3FUFBXVHUKCL44TD}

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	2026-06-23T02:13:11.401598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59e2a1d9afab65a1437a9e8a12f9c98e6418cf2eb9c83dc5fa076349a54ff5e

Aliases

arxiv: 2012.10962 · arxiv_version: 2012.10962v2 · doi: 10.48550/arxiv.2012.10962 · pith_short_12: 4WPCUHM27K3F · pith_short_16: 4WPCUHM27K3FUFBX · pith_short_8: 4WPCUHM2

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/4WPCUHM27K3FUFBXVHUKCL44TD \
  | 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: e59e2a1d9afab65a1437a9e8a12f9c98e6418cf2eb9c83dc5fa076349a54ff5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f73f7e13c6bba115ed9d69ab63135c08c44338fc1bc615505ff851fba3acc19d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-12-20T16:15:01Z",
    "title_canon_sha256": "2438df6967fdbfd00a5516bc8b08fbafda2e065143564557b39ad68851a46f32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.10962",
    "kind": "arxiv",
    "version": 2
  }
}