Pith Number

pith:ORDDC6HW

pith:2022:ORDDC6HWHXW2MSLAPWPCVXCCPY

not attested not anchored not stored refs pending

Computable lower bounds on the entanglement cost of quantum channels

Bartosz Regula, Ludovico Lami

arxiv:2201.09257 v2 · 2022-01-23 · quant-ph · math-ph · 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{ORDDC6HWHXW2MSLAPWPCVXCCPY}

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	2026-07-05T05:42:00.479709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74463178f63deda649607d9e2adc427e32815aefb9b0e845f196b8e474200c3a

Aliases

arxiv: 2201.09257 · arxiv_version: 2201.09257v2 · doi: 10.48550/arxiv.2201.09257 · pith_short_12: ORDDC6HWHXW2 · pith_short_16: ORDDC6HWHXW2MSLA · pith_short_8: ORDDC6HW

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/ORDDC6HWHXW2MSLAPWPCVXCCPY \
  | 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: 74463178f63deda649607d9e2adc427e32815aefb9b0e845f196b8e474200c3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ff3106ee2a40faf9d6c14bd43432346ece64a7847cf7461e631d22e8bd96b9c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-01-23T13:05:36Z",
    "title_canon_sha256": "da986612f33835eae124eae09a4c0041b104fe52224eff9d601fbc97e82e6061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.09257",
    "kind": "arxiv",
    "version": 2
  }
}