Pith Number

pith:NDPMCZBM

pith:2010:NDPMCZBMFQPXHVNKP4K4S6WVS6

not attested not anchored not stored refs pending

Entanglement evolution of two qubits under noisy environments

Bin Shao, Jian Zou, Jun-Gang Li

arxiv:1012.3206 v1 · 2010-12-15 · 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{NDPMCZBMFQPXHVNKP4K4S6WVS6}

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	2026-05-18T02:04:24.690921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68dec1642c2c1f73d5aa7f15c97ad5978590314eb073fa097da67588f35479ef

Aliases

arxiv: 1012.3206 · arxiv_version: 1012.3206v1 · doi: 10.48550/arxiv.1012.3206 · pith_short_12: NDPMCZBMFQPX · pith_short_16: NDPMCZBMFQPXHVNK · pith_short_8: NDPMCZBM

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/NDPMCZBMFQPXHVNKP4K4S6WVS6 \
  | 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: 68dec1642c2c1f73d5aa7f15c97ad5978590314eb073fa097da67588f35479ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17dd90c19218ae67973e38315566b805369eb6ed9f8e10e6e775bfd253d95eaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-15T00:53:18Z",
    "title_canon_sha256": "7dda941a86234cab009a169395a1aed56b585f95945332b34ee7e0d2214379fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3206",
    "kind": "arxiv",
    "version": 1
  }
}