Pith Number

pith:3H4LXL3Z

pith:2009:3H4LXL3Z3KXYJUXNL664CNXICV

not attested not anchored not stored refs pending

Bounds on probability of transformations between multi-partite pure states

Hoi-Kwong Lo, Wei Cui, Wolfram Helwig

arxiv:0910.3295 v1 · 2009-10-19 · 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{3H4LXL3Z3KXYJUXNL664CNXICV}

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	2026-05-18T02:11:14.752571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9f8bbaf79daaf84d2ed5fbdc136e81574a9e546d665c3963e728fdffd383bd2

Aliases

arxiv: 0910.3295 · arxiv_version: 0910.3295v1 · doi: 10.48550/arxiv.0910.3295 · pith_short_12: 3H4LXL3Z3KXY · pith_short_16: 3H4LXL3Z3KXYJUXN · pith_short_8: 3H4LXL3Z

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/3H4LXL3Z3KXYJUXNL664CNXICV \
  | 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: d9f8bbaf79daaf84d2ed5fbdc136e81574a9e546d665c3963e728fdffd383bd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf8949055a884f8dbd23512e9eb3d680c0a03609ab412e951c2f86400326deba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-10-19T15:54:42Z",
    "title_canon_sha256": "d9079c63e7229e293eb4db99c42c217201a8921e30835fbe4cb61c267c727ac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3295",
    "kind": "arxiv",
    "version": 1
  }
}