Pith Number

pith:BCPVNLUL

pith:2009:BCPVNLULV53G7N65ECKWLPXACW

not attested not anchored not stored refs pending

The Quantum Reverse Shannon Theorem based on One-Shot Information Theory

Mario Berta, Matthias Christandl, Renato Renner

arxiv:0912.3805 v3 · 2009-12-20 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCPVNLULV53G7N65ECKWLPXACW}

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	2026-05-18T04:12:43.114696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

089f56ae8baf766fb7dd209565bee015a5230b7359b2601f2fb0f1320ea25b8f

Aliases

arxiv: 0912.3805 · arxiv_version: 0912.3805v3 · doi: 10.48550/arxiv.0912.3805 · pith_short_12: BCPVNLULV53G · pith_short_16: BCPVNLULV53G7N65 · pith_short_8: BCPVNLUL

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/BCPVNLULV53G7N65ECKWLPXACW \
  | 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: 089f56ae8baf766fb7dd209565bee015a5230b7359b2601f2fb0f1320ea25b8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e7cc616f3ca2ee17bf88fe3044483b60a864d4a7f9274382d16493660ba746e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-12-20T20:56:13Z",
    "title_canon_sha256": "d35355158c3a90ae53aa153c704c0b3c228111863cd4b830b7a9302092c6a95e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3805",
    "kind": "arxiv",
    "version": 3
  }
}