Pith Number

pith:VMFCYHWG

pith:2011:VMFCYHWGOFLWWYLDKNF4T4QVJD

not attested not anchored not stored refs pending

Entanglement Cost of Quantum Channels

Fernando Brandao, Mario Berta, Matthias Christandl, Stephanie Wehner

arxiv:1108.5357 v3 · 2011-08-26 · 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{VMFCYHWGOFLWWYLDKNF4T4QVJD}

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	2026-05-18T01:28:21.935184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab0a2c1ec671576b6163534bc9f21548c090433b267f721e230e596c35ab9f93

Aliases

arxiv: 1108.5357 · arxiv_version: 1108.5357v3 · doi: 10.48550/arxiv.1108.5357 · pith_short_12: VMFCYHWGOFLW · pith_short_16: VMFCYHWGOFLWWYLD · pith_short_8: VMFCYHWG

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/VMFCYHWGOFLWWYLDKNF4T4QVJD \
  | 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: ab0a2c1ec671576b6163534bc9f21548c090433b267f721e230e596c35ab9f93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00068214d77b6a552c00951b6fb6aef9a626da7173df2a3e67e2c79e884cc4a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-08-26T17:36:50Z",
    "title_canon_sha256": "c394c13553e70330b600dc9c1d566e401368853b435c330dc73eb51cbbb950dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5357",
    "kind": "arxiv",
    "version": 3
  }
}