Pith Number

pith:2T5CZOPM

pith:2011:2T5CZOPMXS6XA6PFN2QCO5WJDZ

not attested not anchored not stored refs pending

Solitons supported by complex PT symmetric Gaussian potentials

Daquan Lu, Sumei Hu, Wei Hu, Xuekai Ma, Yizhou Zheng, Zhenjun Yang

arxiv:1107.0809 v2 · 2011-07-05 · 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{2T5CZOPMXS6XA6PFN2QCO5WJDZ}

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	2026-05-18T04:11:07.218518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4fa2cb9ecbcbd7079e56ea02776c91e43336785cb6214318762ec76853051f5

Aliases

arxiv: 1107.0809 · arxiv_version: 1107.0809v2 · doi: 10.48550/arxiv.1107.0809 · pith_short_12: 2T5CZOPMXS6X · pith_short_16: 2T5CZOPMXS6XA6PF · pith_short_8: 2T5CZOPM

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/2T5CZOPMXS6XA6PFN2QCO5WJDZ \
  | 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: d4fa2cb9ecbcbd7079e56ea02776c91e43336785cb6214318762ec76853051f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e83063209f628ef74a1e225256c5fd1663473f56cabdc0f9fb9b646e09748e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-07-05T07:51:42Z",
    "title_canon_sha256": "915161de61ebeb34eed75959176d5f1947ace143f28e9daf21bde2700968fcd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0809",
    "kind": "arxiv",
    "version": 2
  }
}