Pith Number

pith:6U4ZI2P7

pith:2009:6U4ZI2P7722SAVER45GGZP3KKA

not attested not anchored not stored refs pending

The Uncertainty Principle in the Presence of Quantum Memory

Joseph M. Renes, Mario Berta, Matthias Christandl, Renato Renner, Roger Colbeck

arxiv:0909.0950 v4 · 2009-09-07 · 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{6U4ZI2P7722SAVER45GGZP3KKA}

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	2026-05-18T04:27:45.527438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5399469fffeb5205491e74c6cbf6a5004124a88d90d92c2c72ef3f0469eb4eb

Aliases

arxiv: 0909.0950 · arxiv_version: 0909.0950v4 · doi: 10.48550/arxiv.0909.0950 · pith_short_12: 6U4ZI2P7722S · pith_short_16: 6U4ZI2P7722SAVER · pith_short_8: 6U4ZI2P7

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/6U4ZI2P7722SAVER45GGZP3KKA \
  | 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: f5399469fffeb5205491e74c6cbf6a5004124a88d90d92c2c72ef3f0469eb4eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3a4a94665472375c0e02e69a54e9699d97233ac2877f540656d14c5b87aeafd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-09-07T17:11:37Z",
    "title_canon_sha256": "528f398aabe6334a607805ea992a682954a4a526838b7bbe418323f755d6dec7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0950",
    "kind": "arxiv",
    "version": 4
  }
}