Pith Number

pith:CYEBM7ZL

pith:2018:CYEBM7ZLH3OWM3W3UNPOW3QMN2

not attested not anchored not stored refs pending

A novel exact solution of the 2+1-dimensional radial Dirac equation for the generalized Dirac oscillator with the inverse potentials

Mengyao Zhang, ZhengWen Long, Zilong Zhao

arxiv:1811.00118 v2 · 2018-10-29 · quant-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYEBM7ZLH3OWM3W3UNPOW3QMN2}

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	2026-05-17T23:57:02.504840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1608167f2b3edd666edba35eeb6e0c6eb9e8d6565a29218f5bb3c87bf29b96e7

Aliases

arxiv: 1811.00118 · arxiv_version: 1811.00118v2 · doi: 10.48550/arxiv.1811.00118 · pith_short_12: CYEBM7ZLH3OW · pith_short_16: CYEBM7ZLH3OWM3W3 · pith_short_8: CYEBM7ZL

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/CYEBM7ZLH3OWM3W3UNPOW3QMN2 \
  | 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: 1608167f2b3edd666edba35eeb6e0c6eb9e8d6565a29218f5bb3c87bf29b96e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d0cabca31efffcf4c7b55cd1ce3e01f1f18dc127166f1800971d7d7adb30b6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-10-29T05:50:18Z",
    "title_canon_sha256": "f1ef20869f6b9545c4d42b71f4a3162b9da4f46553d6e15fa91d3374e7bf5a3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00118",
    "kind": "arxiv",
    "version": 2
  }
}