Pith Number

pith:PLPPUYBM

pith:2010:PLPPUYBMJC5YM4G3EYJDJ6JM5N

not attested not anchored not stored refs pending

Any $2\otimes n$ subspace is locally distinguishable

Mingsheng Ying, Nengkun Yu, Runyao Duan

arxiv:1010.2664 v1 · 2010-10-13 · 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{PLPPUYBMJC5YM4G3EYJDJ6JM5N}

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	2026-05-18T03:12:46.775294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7adefa602c48bb8670db261234f92ceb42d01704f51594d466909348189645d5

Aliases

arxiv: 1010.2664 · arxiv_version: 1010.2664v1 · doi: 10.48550/arxiv.1010.2664 · pith_short_12: PLPPUYBMJC5Y · pith_short_16: PLPPUYBMJC5YM4G3 · pith_short_8: PLPPUYBM

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/PLPPUYBMJC5YM4G3EYJDJ6JM5N \
  | 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: 7adefa602c48bb8670db261234f92ceb42d01704f51594d466909348189645d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a259c16f85fb07e0d3b0f49014adebfa40f7ca07fb3f809689874ab7ea5fc3b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-10-13T14:06:50Z",
    "title_canon_sha256": "57320174f332dbee3ba051757e4214f318890cb5a82cfe51b470bbbb44a990bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2664",
    "kind": "arxiv",
    "version": 1
  }
}