Pith Number

pith:5SXHQT4M

pith:2013:5SXHQT4MTQFOVDM65MQLOCQVZA

not attested not anchored not stored refs pending

Local unitary invariants for multipartite states

Ming-Jing Zhao, Shao-Ming Fei, Ting-Gui Zhang, Xianqing Li-Jost

arxiv:1307.6659 v1 · 2013-07-25 · 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{5SXHQT4MTQFOVDM65MQLOCQVZA}

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	2026-05-18T01:34:05.764525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecae784f8c9c0aea8d9eeb20b70a15c832ce338a574477934a33522b2fdc04ca

Aliases

arxiv: 1307.6659 · arxiv_version: 1307.6659v1 · doi: 10.48550/arxiv.1307.6659 · pith_short_12: 5SXHQT4MTQFO · pith_short_16: 5SXHQT4MTQFOVDM6 · pith_short_8: 5SXHQT4M

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/5SXHQT4MTQFOVDM65MQLOCQVZA \
  | 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: ecae784f8c9c0aea8d9eeb20b70a15c832ce338a574477934a33522b2fdc04ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d3d4b8e00fd8fe7d5261cdf93203e333659fb11ced55377d2ea331139db5776",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-07-25T08:21:58Z",
    "title_canon_sha256": "05c85f1abc1b5b1edd78d0379933c0c8065c882b4b90e092ae7b03e5eafbaff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6659",
    "kind": "arxiv",
    "version": 1
  }
}