Pith Number

pith:A2C2UUPC

pith:2016:A2C2UUPCPO6CMLZZYHDXXDIIZV

not attested not anchored not stored refs pending

Belief propagation decoding of quantum channels by passing quantum messages

Joseph M. Renes

arxiv:1607.04833 v3 · 2016-07-17 · 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{A2C2UUPCPO6CMLZZYHDXXDIIZV}

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	2026-05-18T00:39:18.316186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0685aa51e27bbc262f39c1c77b8d08cd67b765f88bf5bd898200ea4c82754864

Aliases

arxiv: 1607.04833 · arxiv_version: 1607.04833v3 · doi: 10.48550/arxiv.1607.04833 · pith_short_12: A2C2UUPCPO6C · pith_short_16: A2C2UUPCPO6CMLZZ · pith_short_8: A2C2UUPC

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/A2C2UUPCPO6CMLZZYHDXXDIIZV \
  | 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: 0685aa51e27bbc262f39c1c77b8d08cd67b765f88bf5bd898200ea4c82754864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68cf20129ef522e82eab0cf45a5d1f13ad0875b276786fd6464bc23a9afa4ddc",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-07-17T08:19:07Z",
    "title_canon_sha256": "7bfc845335ae3638c645a8081baa7fa7c21020481a1740c2249e5a52d6079035"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04833",
    "kind": "arxiv",
    "version": 3
  }
}