Pith Number

pith:ULV6RWCB

pith:2012:ULV6RWCBTLGP7LOEUBXOZP34A6

not attested not anchored not stored refs pending

The best constants for operator Lipschitz functions on Schatten classes

Denis Potapov, Fedor Sukochev, Martijn Caspers, Stephen Montgomery-Smith

arxiv:1209.3948 v2 · 2012-09-18 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULV6RWCBTLGP7LOEUBXOZP34A6}

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	2026-05-18T02:44:07.130566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2ebe8d8419accffadc4a06eecbf7c07901e8811337e9c4871e5144c42711014

Aliases

arxiv: 1209.3948 · arxiv_version: 1209.3948v2 · doi: 10.48550/arxiv.1209.3948 · pith_short_12: ULV6RWCBTLGP · pith_short_16: ULV6RWCBTLGP7LOE · pith_short_8: ULV6RWCB

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/ULV6RWCBTLGP7LOEUBXOZP34A6 \
  | 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: a2ebe8d8419accffadc4a06eecbf7c07901e8811337e9c4871e5144c42711014

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "552fa8a642acb0840d9b28949d5546f56486bbb2b6f40c5f7241f9e7df197779",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-18T13:17:10Z",
    "title_canon_sha256": "3af880d98032800161a64a88c364c39865c10d20b0358de700ca66537dfde5ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3948",
    "kind": "arxiv",
    "version": 2
  }
}