Pith Number

pith:6BLGM3FE

pith:2015:6BLGM3FEHFKBPHJB4WWUZKWOAV

not attested not anchored not stored refs pending

Novel exactly solvable Schr\"odinger equations with a position-dependent mass in multidimensional spaces obtained from duality

C. Quesne

arxiv:1509.07348 v2 · 2015-09-24 · math-ph · math.MP · nlin.SI · 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{6BLGM3FEHFKBPHJB4WWUZKWOAV}

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	2026-05-18T01:14:03.257867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f056666ca43954179d21e5ad4caace056b8962c40a6c08034ecb23736d7d36bc

Aliases

arxiv: 1509.07348 · arxiv_version: 1509.07348v2 · doi: 10.48550/arxiv.1509.07348 · pith_short_12: 6BLGM3FEHFKB · pith_short_16: 6BLGM3FEHFKBPHJB · pith_short_8: 6BLGM3FE

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/6BLGM3FEHFKBPHJB4WWUZKWOAV \
  | 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: f056666ca43954179d21e5ad4caace056b8962c40a6c08034ecb23736d7d36bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2388fc5972e2e4a7d61151ffabd44c333f56fad9eb242c66b568d1aae981ccd5",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-24T12:59:12Z",
    "title_canon_sha256": "a828fa380f41fb8554a857db680e069aa881b653eb7cd89eae25088a99b4757a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07348",
    "kind": "arxiv",
    "version": 2
  }
}