Pith Number

pith:ADTRP5EX

pith:2026:ADTRP5EXJS5I27TO3TM5ZLQYCJ

not attested not anchored not stored refs pending

The Pseudospectral Method for the Dirac Equation with Confining Potential

Dengshan Liu, Huihui Xie, Jian Li, Pengxiang Du, Tomoya Naito

arxiv:2605.25390 v1 · 2026-05-25 · physics.atom-ph · math-ph · math.MP · nucl-th · physics.comp-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{ADTRP5EXJS5I27TO3TM5ZLQYCJ}

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	2026-05-26T02:04:32.326223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00e717f4974cba8d7e6edcd9dcae18126f68540c9b8bba3a565ffba39a48ee4f

Aliases

arxiv: 2605.25390 · arxiv_version: 2605.25390v1 · doi: 10.48550/arxiv.2605.25390 · pith_short_12: ADTRP5EXJS5I · pith_short_16: ADTRP5EXJS5I27TO · pith_short_8: ADTRP5EX

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/ADTRP5EXJS5I27TO3TM5ZLQYCJ \
  | 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: 00e717f4974cba8d7e6edcd9dcae18126f68540c9b8bba3a565ffba39a48ee4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0322bd5dab9b910f7c703d4b8785be2a538a9ed82e7c1e6554bdfe0d7d890515",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nucl-th",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2026-05-25T03:34:27Z",
    "title_canon_sha256": "bba1aefa3d09d2e466330939e66d89c45afe8efc92245a9d696b858d21521ccb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25390",
    "kind": "arxiv",
    "version": 1
  }
}