Pith Number

pith:B3I4ZKVC

pith:2014:B3I4ZKVCPXYVPIIETAFJ3DCJRB

not attested not anchored not stored refs pending

Superintegrable and shape invariant systems with position dependent mass

A. G. Nikitin

arxiv:1412.4232 v3 · 2014-12-13 · 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{B3I4ZKVCPXYVPIIETAFJ3DCJRB}

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	2026-05-18T01:19:42.474260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed1ccaaa27df157a104980a9d8c49886945678cc4f7edf05bf766cac03c84fa

Aliases

arxiv: 1412.4232 · arxiv_version: 1412.4232v3 · doi: 10.48550/arxiv.1412.4232 · pith_short_12: B3I4ZKVCPXYV · pith_short_16: B3I4ZKVCPXYVPIIE · pith_short_8: B3I4ZKVC

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/B3I4ZKVCPXYVPIIETAFJ3DCJRB \
  | 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: 0ed1ccaaa27df157a104980a9d8c49886945678cc4f7edf05bf766cac03c84fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09799383bf47e66fa4af229dad9e46c891b34622bfed00dce696a047d54d6f96",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-12-13T12:53:19Z",
    "title_canon_sha256": "ca02de93298f4c68b4ee07e41f89eae7e49d1d3a892c40fb3d7df72d2519c6db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4232",
    "kind": "arxiv",
    "version": 3
  }
}