Pith Number

pith:73YGKNW6

pith:2006:73YGKNW6XGOUMSODCOMFBMVXWQ

not attested not anchored not stored refs pending

Quantum Capacities of Channels with small Environment

David Perez-Garcia, Michael M. Wolf

arxiv:quant-ph/0607070 v1 · 2006-07-11 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{73YGKNW6XGOUMSODCOMFBMVXWQ}

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.

Cited by

1 paper in Pith

Sharp Quantum Capacity Thresholds: Exponential Strong Converses for Degradable and Antidegradable Channels

Receipt and verification

First computed	2026-07-04T17:03:30.685966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fef06536deb99d4649c3139850b2b7b43fe8e91fa54e213d3c2dd98f7e19ab04

Aliases

arxiv: quant-ph/0607070 · arxiv_version: quant-ph/0607070v1 · doi: 10.48550/arxiv.quant-ph/0607070 · pith_short_12: 73YGKNW6XGOU · pith_short_16: 73YGKNW6XGOUMSOD · pith_short_8: 73YGKNW6

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/73YGKNW6XGOUMSODCOMFBMVXWQ \
  | 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: fef06536deb99d4649c3139850b2b7b43fe8e91fa54e213d3c2dd98f7e19ab04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4ea3de6d27761970aabfc39938dc50f5b5d0b7e8d3ef3097eb4374d549fed32",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-07-11T11:46:02Z",
    "title_canon_sha256": "459d0c48c03579645a9d3c338c78e05da1b3cfbb90933ffc7bab283b1a1e6604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0607070",
    "kind": "arxiv",
    "version": 1
  }
}