Pith Number

pith:JO4VGF4K

pith:2009:JO4VGF4KVZB2OEREOE7B2465BC

not attested not anchored not stored refs pending

Classification of the Entangled States $2 \times M \times N$

Cong-Feng Qiao, Jun-Li Li

arxiv:1001.0078 v2 · 2009-12-31 · quant-ph · hep-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{JO4VGF4KVZB2OEREOE7B2465BC}

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	2026-05-18T00:26:18.764265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bb953178aae43a71224713e1d73dd08ad3be508b4028bc1b163b50921a1cb6b

Aliases

arxiv: 1001.0078 · arxiv_version: 1001.0078v2 · doi: 10.48550/arxiv.1001.0078 · pith_short_12: JO4VGF4KVZB2 · pith_short_16: JO4VGF4KVZB2OERE · pith_short_8: JO4VGF4K

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/JO4VGF4KVZB2OEREOE7B2465BC \
  | 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: 4bb953178aae43a71224713e1d73dd08ad3be508b4028bc1b163b50921a1cb6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b509b2e901d030e660a13deaf3e8c9e10b82ea62e3bc27518a6d0c157d84812a",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-12-31T03:32:08Z",
    "title_canon_sha256": "d6f1388fbf37f782cf2c3b3f51bd72cd4119fae45cf9bdd9134d4417bf85262c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0078",
    "kind": "arxiv",
    "version": 2
  }
}