Pith Number

pith:CCXCO6OA

pith:2012:CCXCO6OAXYZJI6EDD5M5XUEJIX

not attested not anchored not stored refs pending

Polar codes for private classical communication

Joseph M. Renes, Mark M. Wilde

arxiv:1203.5794 v1 · 2012-03-26 · 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{CCXCO6OAXYZJI6EDD5M5XUEJIX}

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	2026-05-18T03:30:02.930219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10ae2779c0be329478831f59dbd08945ff3f531756a08e1084a5dd174a6b98d1

Aliases

arxiv: 1203.5794 · arxiv_version: 1203.5794v1 · doi: 10.48550/arxiv.1203.5794 · pith_short_12: CCXCO6OAXYZJ · pith_short_16: CCXCO6OAXYZJI6ED · pith_short_8: CCXCO6OA

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/CCXCO6OAXYZJI6EDD5M5XUEJIX \
  | 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: 10ae2779c0be329478831f59dbd08945ff3f531756a08e1084a5dd174a6b98d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df063a0f7c4e22ee4612e07e87a3564e8511e715344ab0d379c0af01ab216ce5",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-03-26T20:00:15Z",
    "title_canon_sha256": "547eaa0f88e7bb1d9058eb2d147a9569afc2dfffc1c7b3e94b0d3290cc60a40b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5794",
    "kind": "arxiv",
    "version": 1
  }
}