Pith Number

pith:7MKYCFFB

pith:2010:7MKYCFFB5SY6YJ3IDYTBLNZOKP

not attested not anchored not stored refs pending

Noisy channel coding via privacy amplification and information reconciliation

Joseph M. Renes, Renato Renner

arxiv:1012.4814 v2 · 2010-12-21 · 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{7MKYCFFB5SY6YJ3IDYTBLNZOKP}

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	2026-05-18T03:59:25.671012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb158114a1ecb1ec27681e2615b72e53c8417b201a7526060533e22e541693cd

Aliases

arxiv: 1012.4814 · arxiv_version: 1012.4814v2 · doi: 10.48550/arxiv.1012.4814 · pith_short_12: 7MKYCFFB5SY6 · pith_short_16: 7MKYCFFB5SY6YJ3I · pith_short_8: 7MKYCFFB

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/7MKYCFFB5SY6YJ3IDYTBLNZOKP \
  | 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: fb158114a1ecb1ec27681e2615b72e53c8417b201a7526060533e22e541693cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16478e6136fb85b96ca279e947a29e861cc729b3e89ed30155e874e0ad528298",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-21T21:25:44Z",
    "title_canon_sha256": "bf546d4780582854fae3b7d74bd16e836e853d7c077d7c62216661d1a66fe281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4814",
    "kind": "arxiv",
    "version": 2
  }
}