Pith Number

pith:CB3NMPOP

pith:2011:CB3NMPOPWLMNVOH7Y25DJ5H2QB

not attested not anchored not stored refs pending

Polar codes for degradable quantum channels

Mark M. Wilde, Saikat Guha

arxiv:1109.5346 v3 · 2011-09-25 · 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{CB3NMPOPWLMNVOH7Y25DJ5H2QB}

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	2026-05-18T03:20:35.806087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1076d63dcfb2d8dab8ffc6ba34f4fa806dabc86a4c04f786e442be8e74ca5a4f

Aliases

arxiv: 1109.5346 · arxiv_version: 1109.5346v3 · doi: 10.48550/arxiv.1109.5346 · pith_short_12: CB3NMPOPWLMN · pith_short_16: CB3NMPOPWLMNVOH7 · pith_short_8: CB3NMPOP

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/CB3NMPOPWLMNVOH7Y25DJ5H2QB \
  | 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: 1076d63dcfb2d8dab8ffc6ba34f4fa806dabc86a4c04f786e442be8e74ca5a4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3312ce32564652bb1c18c7666ef74e0028cec4f50dfbc0f404c7ab5f4d32f390",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-09-25T11:53:25Z",
    "title_canon_sha256": "c474b754b275a6c82922f3bcbc29e5730d2a881a72142f638f2fcf17a14eb118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5346",
    "kind": "arxiv",
    "version": 3
  }
}