Pith Number

pith:CXE4NNQR

pith:2017:CXE4NNQRCHJCCFMGNBU4SMCM5A

not attested not anchored not stored refs pending

Duality of channels and codes

Joseph M. Renes

arxiv:1701.05583 v2 · 2017-01-19 · 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{CXE4NNQRCHJCCFMGNBU4SMCM5A}

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	2026-05-18T00:27:28.318925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15c9c6b61111d22115866869c9304ce8207e1b778769f2bfc8f8191a20170c10

Aliases

arxiv: 1701.05583 · arxiv_version: 1701.05583v2 · doi: 10.48550/arxiv.1701.05583 · pith_short_12: CXE4NNQRCHJC · pith_short_16: CXE4NNQRCHJCCFMG · pith_short_8: CXE4NNQR

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/CXE4NNQRCHJCCFMGNBU4SMCM5A \
  | 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: 15c9c6b61111d22115866869c9304ce8207e1b778769f2bfc8f8191a20170c10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea698f56246c959a3b00e43eea323d9e51cf3de625de91441ab90e16e0229e8",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-01-19T20:06:11Z",
    "title_canon_sha256": "942e26fc9253774cd75edca386c814329aad19554a199734d50962543ae00d0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05583",
    "kind": "arxiv",
    "version": 2
  }
}