Pith Number

pith:2JLBKI6G

pith:2017:2JLBKI6GZXCUIHK6WKSYTBS6YV

not attested not anchored not stored refs pending

Complexity and capacity bounds for quantum channels

Ivan G. Todorov, Rupert H. Levene, Vern I. Paulsen

arxiv:1710.06456 v1 · 2017-10-17 · quant-ph · cs.IT · math.CO · math.IT · 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{2JLBKI6GZXCUIHK6WKSYTBS6YV}

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	2026-05-18T00:07:43.564019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2561523c6cdc5441d5eb2a589865ec57597a4c183ad2d771126084a562f4de3

Aliases

arxiv: 1710.06456 · arxiv_version: 1710.06456v1 · doi: 10.48550/arxiv.1710.06456 · pith_short_12: 2JLBKI6GZXCU · pith_short_16: 2JLBKI6GZXCUIHK6 · pith_short_8: 2JLBKI6G

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/2JLBKI6GZXCUIHK6WKSYTBS6YV \
  | 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: d2561523c6cdc5441d5eb2a589865ec57597a4c183ad2d771126084a562f4de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "106b0d291d6c4d39e0513e6e54d3517f1508a38490ca8e750763b641f49b4037",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-10-17T18:12:58Z",
    "title_canon_sha256": "d6a585e27a38a8707984945f7d1e233159c957bb20184325428c1eca32a08430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06456",
    "kind": "arxiv",
    "version": 1
  }
}