Pith Number

pith:NMJS3YZX

pith:2016:NMJS3YZXOLVNI33ZVVRIUR7LAC

not attested not anchored not stored refs pending

From the generalized Morse potential to a unified treatment of the $D$-dimensional singular harmonic oscillator and singular Coulomb potentials

Antonio S. de Castro, Pedro H. F. Nogueira

arxiv:1605.00280 v1 · 2016-05-01 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMJS3YZXOLVNI33ZVVRIUR7LAC}

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	2026-05-18T01:15:48.491817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b132de33772ead46f79ad628a47eb00867ca3174f7b7acd50a66c8efbc1abb7

Aliases

arxiv: 1605.00280 · arxiv_version: 1605.00280v1 · doi: 10.48550/arxiv.1605.00280 · pith_short_12: NMJS3YZXOLVN · pith_short_16: NMJS3YZXOLVNI33Z · pith_short_8: NMJS3YZX

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/NMJS3YZXOLVNI33ZVVRIUR7LAC \
  | 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: 6b132de33772ead46f79ad628a47eb00867ca3174f7b7acd50a66c8efbc1abb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8093569b045f11ba9739c74c65970ef39c5c4978df1639c6d28b9cff6b1b35c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-05-01T17:25:27Z",
    "title_canon_sha256": "97c525afa0dcff0118f518fbaa01305082a0af8ad3723359aaab12ce2c8529ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00280",
    "kind": "arxiv",
    "version": 1
  }
}