Pith Number

pith:Y3S6SWJI

pith:2017:Y3S6SWJI2D7SP73QA2FTS5LNS4

not attested not anchored not stored refs pending

Solutions of the three-dimensional radial Dirac equation from the Schr\"odinger equation with one-dimensional Morse potential

A.S. de Castro, L.B. Castro, M.G. Garcia, P. Alberto

arxiv:1705.00310 v1 · 2017-04-30 · hep-th · math-ph · math.MP · 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{Y3S6SWJI2D7SP73QA2FTS5LNS4}

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	2026-05-18T00:45:10.374281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6e5e95928d0ff27ff70068b39756d971d3903f0df3da370213ed58e3d10a672

Aliases

arxiv: 1705.00310 · arxiv_version: 1705.00310v1 · doi: 10.48550/arxiv.1705.00310 · pith_short_12: Y3S6SWJI2D7S · pith_short_16: Y3S6SWJI2D7SP73Q · pith_short_8: Y3S6SWJI

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/Y3S6SWJI2D7SP73QA2FTS5LNS4 \
  | 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: c6e5e95928d0ff27ff70068b39756d971d3903f0df3da370213ed58e3d10a672

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0bbe025fef3a135fd4c9981c0c68cd6f5b227377ee3a873b3ac9619e11202db",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-04-30T13:06:48Z",
    "title_canon_sha256": "e1bb16382f431f0bdfc09d52deb1cbb45b0f64fa1db2ed6ba6821e2ab53c656f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00310",
    "kind": "arxiv",
    "version": 1
  }
}