Pith Number

pith:ISD2UWBO

pith:2010:ISD2UWBOU4O7DDKFCKXJZY4KVV

not attested not anchored not stored refs pending

Geometric Phase in PT-Symmetric Quantum Mechanics

Jiangbin Gong, Qing-hai Wang

arxiv:1003.3076 v1 · 2010-03-16 · 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{ISD2UWBOU4O7DDKFCKXJZY4KVV}

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	2026-05-18T02:33:40.988507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4487aa582ea71df18d4512ae9ce38aad4a1672ad64f0afa51c4480ac84bc2780

Aliases

arxiv: 1003.3076 · arxiv_version: 1003.3076v1 · doi: 10.48550/arxiv.1003.3076 · pith_short_12: ISD2UWBOU4O7 · pith_short_16: ISD2UWBOU4O7DDKF · pith_short_8: ISD2UWBO

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/ISD2UWBOU4O7DDKFCKXJZY4KVV \
  | 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: 4487aa582ea71df18d4512ae9ce38aad4a1672ad64f0afa51c4480ac84bc2780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d219b5497281b54613f40a1108a8ed316bb1460826dc2110988d621aea96ce01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-03-16T04:42:17Z",
    "title_canon_sha256": "084df1aa7338455cfe42a14afd2d8bd0fe409c985e1259eb966427effca2ed1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3076",
    "kind": "arxiv",
    "version": 1
  }
}