Pith Number

pith:CSG32OMG

pith:2007:CSG32OMGCWVYWGFTONQA47OHQ6

not attested not anchored not stored refs pending

A generalized no-broadcasting theorem

Alexander Wilce, Howard Barnum, Jonathan Barrett, Matthew Leifer

arxiv:0707.0620 v1 · 2007-07-04 · 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{CSG32OMGCWVYWGFTONQA47OHQ6}

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

A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics

Receipt and verification

First computed	2026-07-04T15:15:44.871394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

148dbd398615ab8b18b373600e7dc7879fbed88d1c15b68ebe4772dbbe66147d

Aliases

arxiv: 0707.0620 · arxiv_version: 0707.0620v1 · doi: 10.48550/arxiv.0707.0620 · pith_short_12: CSG32OMGCWVY · pith_short_16: CSG32OMGCWVYWGFT · pith_short_8: CSG32OMG

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/CSG32OMGCWVYWGFTONQA47OHQ6 \
  | 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: 148dbd398615ab8b18b373600e7dc7879fbed88d1c15b68ebe4772dbbe66147d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c59f3b30f802cd216e8abb07701fd7936c69decc193a504f75e7ea4bcedc7728",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-07-04T19:59:54Z",
    "title_canon_sha256": "c42e82fb461d58f86471df6c0546f1ef0a68f1e2831915eab9c3c748028f6a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0620",
    "kind": "arxiv",
    "version": 1
  }
}