Pith Number

pith:KGWLDZ3Q

pith:2012:KGWLDZ3QDIB774C4FSPOP4LQYN

not attested not anchored not stored refs pending

A variational approach to Schroedinger equation with parity-time symmetry Gaussian complex potential

Daquan Lu, Guo Liang, Qi Guo, Shanyong Cai, Sumei Hu, Wei Hu

arxiv:1203.1862 v1 · 2012-03-08 · nlin.PS · physics.optics

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGWLDZ3QDIB774C4FSPOP4LQYN}

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	2026-05-18T04:00:36.750375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51acb1e7701a03fff05c2c9ee7f170c342c591b9a32d751dd4c5d2fdd72cc1d3

Aliases

arxiv: 1203.1862 · arxiv_version: 1203.1862v1 · doi: 10.48550/arxiv.1203.1862 · pith_short_12: KGWLDZ3QDIB7 · pith_short_16: KGWLDZ3QDIB774C4 · pith_short_8: KGWLDZ3Q

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/KGWLDZ3QDIB774C4FSPOP4LQYN \
  | 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: 51acb1e7701a03fff05c2c9ee7f170c342c591b9a32d751dd4c5d2fdd72cc1d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f223340d6d86c72fd1e79335abb03fab892294292dab5ef89ec8282fd3ac8dd",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2012-03-08T17:41:04Z",
    "title_canon_sha256": "08bd6dffd12a764d2abb433b0a621b73ec68c205b069b932960f1e77c2317176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1862",
    "kind": "arxiv",
    "version": 1
  }
}