Pith Number

pith:M3ODKYKU

pith:2002:M3ODKYKUQCHGXGJQK5ER64PYYC

not attested not anchored not stored refs pending

The Power of LOCCq State Transformations

Ashish V. Thapliyal, John A. Smolin

arxiv:quant-ph/0212098 v1 · 2002-12-17 · 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{M3ODKYKUQCHGXGJQK5ER64PYYC}

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	2026-05-18T03:24:20.230500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66dc356154808e6b993057491f71f8c0b801942882d5acb07ee5c5fdf1c16f37

Aliases

arxiv: quant-ph/0212098 · arxiv_version: quant-ph/0212098v1 · doi: 10.48550/arxiv.quant-ph/0212098 · pith_short_12: M3ODKYKUQCHG · pith_short_16: M3ODKYKUQCHGXGJQ · pith_short_8: M3ODKYKU

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/M3ODKYKUQCHGXGJQK5ER64PYYC \
  | 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: 66dc356154808e6b993057491f71f8c0b801942882d5acb07ee5c5fdf1c16f37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6ab2ce5e5dedcae6dfc1b2fd7373abed1fb5e5d86f72b2d9ece028fb61e00f9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-12-17T01:49:50Z",
    "title_canon_sha256": "208f61f961055ee4014a73afe2cf1a6fc6467e7ca035246a53e5225d0460f7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0212098",
    "kind": "arxiv",
    "version": 1
  }
}