Pith Number

pith:R2NAZTZL

pith:2016:R2NAZTZLWP2ODQN3TN3PWUE7IC

not attested not anchored not stored refs pending

Lower bound on concurrence for arbitrary-dimensional tripartite quantum systems

Shao-Ming Fei, Wei Chen, Zhu-Jun Zheng

arxiv:1603.04716 v3 · 2016-03-15 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2NAZTZLWP2ODQN3TN3PWUE7IC}

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	2026-05-18T00:31:52.158332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e9a0ccf2bb3f4e1c1bb9b76fb509f40921440bcf4de15822034fa2ff8e39978

Aliases

arxiv: 1603.04716 · arxiv_version: 1603.04716v3 · doi: 10.48550/arxiv.1603.04716 · pith_short_12: R2NAZTZLWP2O · pith_short_16: R2NAZTZLWP2ODQN3 · pith_short_8: R2NAZTZL

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/R2NAZTZLWP2ODQN3TN3PWUE7IC \
  | 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: 8e9a0ccf2bb3f4e1c1bb9b76fb509f40921440bcf4de15822034fa2ff8e39978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42a399018a6c88dd9a277e6b0da756d45b3f6812ca2db2885d98d8b6e6c6459e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-03-15T15:09:46Z",
    "title_canon_sha256": "a2b47e3e0351d38949317a1f294fbd8d8b42dcb48c8c7b3d4fec4145d9f67318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04716",
    "kind": "arxiv",
    "version": 3
  }
}