Pith Number

pith:EO34FLXB

pith:2011:EO34FLXB2EJ7TJXGIOY7NJVS2B

not attested not anchored not stored refs pending

The Schmidt number and partially entanglement breaking channels in infinite dimensions

M. E. Shirokov

arxiv:1110.4363 v3 · 2011-10-19 · quant-ph · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EO34FLXB2EJ7TJXGIOY7NJVS2B}

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	2026-05-18T03:27:11.579831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23b7c2aee1d113f9a6e643b1f6a6b2d07fe2e28897f5e540750c7dd98daa882c

Aliases

arxiv: 1110.4363 · arxiv_version: 1110.4363v3 · doi: 10.48550/arxiv.1110.4363 · pith_short_12: EO34FLXB2EJ7 · pith_short_16: EO34FLXB2EJ7TJXG · pith_short_8: EO34FLXB

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/EO34FLXB2EJ7TJXGIOY7NJVS2B \
  | 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: 23b7c2aee1d113f9a6e643b1f6a6b2d07fe2e28897f5e540750c7dd98daa882c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1cd422e24bc0bf283ab7b8be59543f0656899d4aa7601bc9c04a4bb50a3c645",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-10-19T19:53:52Z",
    "title_canon_sha256": "11f9040536a0f42e2ea323e6bf6385078b5c588f3c70f8a794701a7f211a2e93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4363",
    "kind": "arxiv",
    "version": 3
  }
}