Pith Number

pith:3KOZ5IK2

pith:2011:3KOZ5IK2YLUILCWZPDO2SRCRYY

not attested not anchored not stored refs pending

When does noise increase the quantum capacity?

Fernando G.S.L. Brand\~ao, Jonathan Oppenheim, Sergii Strelchuk

arxiv:1107.4385 v2 · 2011-07-21 · 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{3KOZ5IK2YLUILCWZPDO2SRCRYY}

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	2026-05-18T04:03:54.410396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da9d9ea15ac2e8858ad978dda94451c61fcee18076c017cf75f84e6e88054680

Aliases

arxiv: 1107.4385 · arxiv_version: 1107.4385v2 · doi: 10.48550/arxiv.1107.4385 · pith_short_12: 3KOZ5IK2YLUI · pith_short_16: 3KOZ5IK2YLUILCWZ · pith_short_8: 3KOZ5IK2

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/3KOZ5IK2YLUILCWZPDO2SRCRYY \
  | 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: da9d9ea15ac2e8858ad978dda94451c61fcee18076c017cf75f84e6e88054680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2edde7d8360309023da3e8523c7140068bbcaaec893f5632d10a6bc0d33e0684",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-21T21:34:10Z",
    "title_canon_sha256": "82041ade2f428c83af38eb66b8b2c1498657482e2fd0d6f214ca390824309a68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4385",
    "kind": "arxiv",
    "version": 2
  }
}