Pith Number

pith:OO2GKFY4

pith:2009:OO2GKFY46GWIFD6PWIBFMNBMC7

not attested not anchored not stored refs pending

Efficient numerical method to calculate three-tangle of mixed states

Guang-Can Guo, Kun Cao, Lixin He, Zheng-Wei Zhou

arxiv:1001.0067 v1 · 2009-12-31 · 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{OO2GKFY46GWIFD6PWIBFMNBMC7}

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	2026-05-18T02:10:06.121853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73b465171cf1ac828fcfb20256342c17f9fb5e7c6a8310e8c31eed1603d965f7

Aliases

arxiv: 1001.0067 · arxiv_version: 1001.0067v1 · doi: 10.48550/arxiv.1001.0067 · pith_short_12: OO2GKFY46GWI · pith_short_16: OO2GKFY46GWIFD6P · pith_short_8: OO2GKFY4

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/OO2GKFY46GWIFD6PWIBFMNBMC7 \
  | 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: 73b465171cf1ac828fcfb20256342c17f9fb5e7c6a8310e8c31eed1603d965f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "618079e1b9bd888caf61f28a465248b6a63ab2f5e56fa663ec59bf19ae19a002",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-12-31T02:16:33Z",
    "title_canon_sha256": "0fe410baeda5974e5a7f9977da16c508a27b181b9822f70c9822101d43a8c7af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0067",
    "kind": "arxiv",
    "version": 1
  }
}