Pith Number

pith:RCLM3MYH

pith:2011:RCLM3MYHYB5LKVI5B2N6ZZZZ65

not attested not anchored not stored refs pending

Polar codes for classical-quantum channels

Mark M. Wilde, Saikat Guha

arxiv:1109.2591 v3 · 2011-09-12 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RCLM3MYHYB5LKVI5B2N6ZZZZ65}

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

Efficiently simulable quantum circuits with large entanglement, magic, and non-Gaussianity via code-compiled tensor networks

Receipt and verification

First computed	2026-05-18T03:36:06.566208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8896cdb307c07ab5551d0e9bece739f74b19cb408642af6994c113a1c085db0f

Aliases

arxiv: 1109.2591 · arxiv_version: 1109.2591v3 · doi: 10.48550/arxiv.1109.2591 · pith_short_12: RCLM3MYHYB5L · pith_short_16: RCLM3MYHYB5LKVI5 · pith_short_8: RCLM3MYH

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/RCLM3MYHYB5LKVI5B2N6ZZZZ65 \
  | 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: 8896cdb307c07ab5551d0e9bece739f74b19cb408642af6994c113a1c085db0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a93f0136feb1ea6b28f98bcd72e5486b23661707d4b014d9abde38aeb43878e9",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-09-12T20:00:02Z",
    "title_canon_sha256": "689d430d9f012f447e252829d3906adc74bf2a34772514d66666aa019982b93b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2591",
    "kind": "arxiv",
    "version": 3
  }
}