Pith Number

pith:CVWTFVJO

pith:2005:CVWTFVJO6RM2EJCOTHW6EBMQCE

not attested not anchored not stored refs pending

Quantum state merging and negative information

Andreas Winter, Jonathan Oppenheim, Michal Horodecki

arxiv:quant-ph/0512247 v1 · 2005-12-29 · 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{CVWTFVJO6RM2EJCOTHW6EBMQCE}

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

Generalised Probabilistic Theories

Receipt and verification

First computed	2026-07-04T15:12:09.121111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

156d32d52ef459a2244e99ede20590112ef568d1190fc5a427bc7defea5a07df

Aliases

arxiv: quant-ph/0512247 · arxiv_version: quant-ph/0512247v1 · doi: 10.48550/arxiv.quant-ph/0512247 · pith_short_12: CVWTFVJO6RM2 · pith_short_16: CVWTFVJO6RM2EJCO · pith_short_8: CVWTFVJO

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/CVWTFVJO6RM2EJCOTHW6EBMQCE \
  | 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: 156d32d52ef459a2244e99ede20590112ef568d1190fc5a427bc7defea5a07df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f65a8d1e44d5c2940c08072548391cf7ea9ee8ff70a54af1b23418f39f9193a8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-12-29T02:04:09Z",
    "title_canon_sha256": "b418463c49eaba24b2cb28cf52c0c418926cb9bc9a84d6e1f1247d0c9df34536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0512247",
    "kind": "arxiv",
    "version": 1
  }
}