Pith Number

pith:QMCSJIZ6

pith:2010:QMCSJIZ6ARAPRF6HL2F4T54ST7

not attested not anchored not stored refs pending

The Parametric Symmetry and Numbers of the Entangled Class of 2 \times M \times N System

Bin Liu, Cong-Feng Qiao, Junli Li, Xikun Li

arxiv:1008.4274 v1 · 2010-08-25 · 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{QMCSJIZ6ARAPRF6HL2F4T54ST7}

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	2026-05-18T04:17:15.312742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

830524a33e0440f897c75e8bc9f7929fcec0044650b96d1ab3e92d711de10f68

Aliases

arxiv: 1008.4274 · arxiv_version: 1008.4274v1 · doi: 10.48550/arxiv.1008.4274 · pith_short_12: QMCSJIZ6ARAP · pith_short_16: QMCSJIZ6ARAPRF6H · pith_short_8: QMCSJIZ6

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/QMCSJIZ6ARAPRF6HL2F4T54ST7 \
  | 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: 830524a33e0440f897c75e8bc9f7929fcec0044650b96d1ab3e92d711de10f68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c84c27fba6aaa9b05a6c6f151756f9c1c7abcc743a9397fc6b9c9226d9282225",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-08-25T13:41:54Z",
    "title_canon_sha256": "c6659176a772d69bc0073033d15b138c603dc40fb88ec692a9660c9c967942f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4274",
    "kind": "arxiv",
    "version": 1
  }
}