Pith Number

pith:NA7PPY72

pith:2009:NA7PPY72DV5I4AI42JG4ZZA5UW

not attested not anchored not stored refs pending

Ensemble Steering, Weak Self-Duality, and the Structure of Probabilistic Theories

Alexander Wilce, Carl Phillipp Gaebler, Howard Barnum

arxiv:0912.5532 v2 · 2009-12-30 · 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{NA7PPY72DV5I4AI42JG4ZZA5UW}

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.

Cited by

1 paper in Pith

Generalized Probability Theory: notes for a short course

Receipt and verification

First computed	2026-07-04T17:22:47.145420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

683ef7e3fa1d7a8e011cd24dcce41da588f052e39cfc14acc6c3fc2648ec5f2b

Aliases

arxiv: 0912.5532 · arxiv_version: 0912.5532v2 · doi: 10.48550/arxiv.0912.5532 · pith_short_12: NA7PPY72DV5I · pith_short_16: NA7PPY72DV5I4AI4 · pith_short_8: NA7PPY72

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/NA7PPY72DV5I4AI42JG4ZZA5UW \
  | 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: 683ef7e3fa1d7a8e011cd24dcce41da588f052e39cfc14acc6c3fc2648ec5f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b963524983b7b7ec37901163dcac401e90d40e96c635ae0a2558dc0ed73f377",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-12-30T20:39:25Z",
    "title_canon_sha256": "cb407460513912b25e0f1790e4c6438fef2f0c6289663b113c544f9585d2676d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5532",
    "kind": "arxiv",
    "version": 2
  }
}