Pith Number

pith:ZJSR6UTD

pith:2010:ZJSR6UTDSTVTYGWC55LEWUF53Z

not attested not anchored not stored refs pending

The automorphism group of separable states in quantum information theory

Chi-Kwong Li, Nung-sing Sze, Shmuel Friedland, Yiu-Tung Poon

arxiv:1012.4221 v2 · 2010-12-19 · 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{ZJSR6UTDSTVTYGWC55LEWUF53Z}

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	2026-05-18T02:04:22.278572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca651f526394eb3c1ac2ef564b50bdde77e6b61ba0ea107cfb492088c2ec93bf

Aliases

arxiv: 1012.4221 · arxiv_version: 1012.4221v2 · doi: 10.48550/arxiv.1012.4221 · pith_short_12: ZJSR6UTDSTVT · pith_short_16: ZJSR6UTDSTVTYGWC · pith_short_8: ZJSR6UTD

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/ZJSR6UTDSTVTYGWC55LEWUF53Z \
  | 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: ca651f526394eb3c1ac2ef564b50bdde77e6b61ba0ea107cfb492088c2ec93bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c06eed4bebf82f25bf601983f38caaa8ada9d7ce8559b5b452509dbfefb3a41f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-19T23:41:00Z",
    "title_canon_sha256": "195bf32dd38f8d48940bbd66fe165fb9cd79cf1163664cb2110b8626f0c38a6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4221",
    "kind": "arxiv",
    "version": 2
  }
}