Pith Number

pith:V3LGK4VO

pith:2010:V3LGK4VOP5WPNFVXIELWJKQ7KW

not attested not anchored not stored refs pending

Dunkl--Williams inequality for operators \\ associated with $p$-angular distance

F. Dadipour, M. Fujii, M. S. Moslehian

arxiv:1006.1941 v1 · 2010-06-10 · math.OA · 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{V3LGK4VOP5WPNFVXIELWJKQ7KW}

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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	2026-05-18T03:59:38.536486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aed66572ae7f6cf696b7411764aa1f5584bba9a9dee88c634dbcec1bbc65a67b

Aliases

arxiv: 1006.1941 · arxiv_version: 1006.1941v1 · doi: 10.48550/arxiv.1006.1941 · pith_short_12: V3LGK4VOP5WP · pith_short_16: V3LGK4VOP5WPNFVX · pith_short_8: V3LGK4VO

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/V3LGK4VOP5WPNFVXIELWJKQ7KW \
  | 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: aed66572ae7f6cf696b7411764aa1f5584bba9a9dee88c634dbcec1bbc65a67b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "131b2af58d71c7ff248963e66a02ad31a108fb4886df4342c7f2eb0c262afccd",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-06-10T02:42:07Z",
    "title_canon_sha256": "f896c38f2cb20461a77bebf519c52ffce0f82b93f2b634f12c79c1ff7b109794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1941",
    "kind": "arxiv",
    "version": 1
  }
}