Pith Number

pith:Q252CO7P

pith:2005:Q252CO7P4ANXO252SLDPAGA6MS

not attested not anchored not stored refs pending

Gaussian quantum channels

J. Eisert, M.M. Wolf

arxiv:quant-ph/0505151 v1 · 2005-05-20 · 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{Q252CO7P4ANXO252SLDPAGA6MS}

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

2 papers in Pith

No-Go Theorem for Gaussian Quantum Repeaters from Fractional Extendibility

Receipt and verification

First computed	2026-07-04T15:42:28.440480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86bba13befe01b776bba92c6f0181e648066390d135d5ce07f5605539e4924db

Aliases

arxiv: quant-ph/0505151 · arxiv_version: quant-ph/0505151v1 · doi: 10.48550/arxiv.quant-ph/0505151 · pith_short_12: Q252CO7P4ANX · pith_short_16: Q252CO7P4ANXO252 · pith_short_8: Q252CO7P

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/Q252CO7P4ANXO252SLDPAGA6MS \
  | 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: 86bba13befe01b776bba92c6f0181e648066390d135d5ce07f5605539e4924db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b4273f8feae18bfc8e90346cd7df7e3ce04f6edfbb6cefcc0f44da219ed84b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-05-20T17:26:21Z",
    "title_canon_sha256": "025ab9380cdb7648f4d10694f62d88ee606f79ff8ce6dd01fccc7bbb14e328a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0505151",
    "kind": "arxiv",
    "version": 1
  }
}