Pith Number

pith:QUTAOY2Q

pith:2017:QUTAOY2QGNZP7JAMOXHCQWWLCB

not attested not anchored not stored refs pending

The Geometry of Quantum Coherence for Two Qubit $X$ States

Lian-He Shao, Yao-Kun Wang, Yu-Ran Zhang

arxiv:1703.02440 v1 · 2017-03-07 · 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{QUTAOY2QGNZP7JAMOXHCQWWLCB}

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	2026-05-18T00:49:20.073033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85260763503372ffa40c75ce285acb105a8360facd65df06826c46d45d2be624

Aliases

arxiv: 1703.02440 · arxiv_version: 1703.02440v1 · doi: 10.48550/arxiv.1703.02440 · pith_short_12: QUTAOY2QGNZP · pith_short_16: QUTAOY2QGNZP7JAM · pith_short_8: QUTAOY2Q

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/QUTAOY2QGNZP7JAMOXHCQWWLCB \
  | 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: 85260763503372ffa40c75ce285acb105a8360facd65df06826c46d45d2be624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add2cc229802479e7bc6446bc6d2a67cf8abdea9aeeb8793b08a62d7d44987d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-03-07T15:43:21Z",
    "title_canon_sha256": "a0879693cce319ec11cb00a6109ffe8ba3ec6abbe1272d0b7ef2827bc6ae22f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02440",
    "kind": "arxiv",
    "version": 1
  }
}