Pith Number

pith:QPAA4M6O

pith:2009:QPAA4M6O2TP4VIGCREICDJ7QA6

not attested not anchored not stored refs pending

Entropy and Information Causality in General Probabilistic Theories

Alex Wilce, Howard Barnum, Jonathan Barrett, Lisa Orloff Clark, Matthew Leifer, Nicholas Stepanik, Robert Spekkens, Robin Wilke

arxiv:0909.5075 v1 · 2009-09-28 · 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{QPAA4M6O2TP4VIGCREICDJ7QA6}

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	2026-05-18T04:20:59.321634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83c00e33ced4dfcaa0c2891021a7f007b48ec791be402110e2d39ca68643a1c9

Aliases

arxiv: 0909.5075 · arxiv_version: 0909.5075v1 · doi: 10.48550/arxiv.0909.5075 · pith_short_12: QPAA4M6O2TP4 · pith_short_16: QPAA4M6O2TP4VIGC · pith_short_8: QPAA4M6O

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/QPAA4M6O2TP4VIGCREICDJ7QA6 \
  | 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: 83c00e33ced4dfcaa0c2891021a7f007b48ec791be402110e2d39ca68643a1c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa021da2c9e102f9eaebd79a1a25e94158c832325f336fe34216a884abc2e14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-09-28T19:22:18Z",
    "title_canon_sha256": "00b97b3d3ce2447a92793aaeb03efa918065da21c1051c29d6f9f16d70898d12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5075",
    "kind": "arxiv",
    "version": 1
  }
}