Pith Number

pith:2QHI7GMB

pith:2009:2QHI7GMB3QCT5MD2FVDHJLH5CT

not attested not anchored not stored refs pending

Optimal teleportation via thermal entangled states of a two-qubit Heisenberg Chain

Ahmad Abliz, Guo-Feng Zhang, Shu-Shen Li, Yue Zhou

arxiv:0906.0051 v1 · 2009-05-30 · 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{2QHI7GMB3QCT5MD2FVDHJLH5CT}

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	2026-05-18T02:13:30.463655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d40e8f9981dc053eb07a2d4674acfd14dcfebee8608c297b440d48ca5ebb7c19

Aliases

arxiv: 0906.0051 · arxiv_version: 0906.0051v1 · doi: 10.48550/arxiv.0906.0051 · pith_short_12: 2QHI7GMB3QCT · pith_short_16: 2QHI7GMB3QCT5MD2 · pith_short_8: 2QHI7GMB

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/2QHI7GMB3QCT5MD2FVDHJLH5CT \
  | 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: d40e8f9981dc053eb07a2d4674acfd14dcfebee8608c297b440d48ca5ebb7c19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1b5c63fc54753d12474d026c88d9f7d8c6544cb04f38d8fe013cb19372d9857",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-05-30T02:55:46Z",
    "title_canon_sha256": "afc6dc90f5d1d21ff4f4be36be8f0d859ae4844a5bd19a93ef2b844c946463db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0051",
    "kind": "arxiv",
    "version": 1
  }
}