Pith Number

pith:CSZF7FWO

pith:2013:CSZF7FWOCQXDK5M43D6Y5MZT5G

not attested not anchored not stored refs pending

The nonlocal Darboux transformation of the 2D stationary Schr\"odinger equation and its relation to the Moutard transformation

Andrey Kudryavtsev

arxiv:1303.5858 v3 · 2013-03-23 · 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{CSZF7FWOCQXDK5M43D6Y5MZT5G}

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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	2026-05-18T02:56:19.228521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14b25f96ce142e35759cd8fd8eb333e99f4fec8e0fdf0ea73030ebdd3bbabde8

Aliases

arxiv: 1303.5858 · arxiv_version: 1303.5858v3 · doi: 10.48550/arxiv.1303.5858 · pith_short_12: CSZF7FWOCQXD · pith_short_16: CSZF7FWOCQXDK5M4 · pith_short_8: CSZF7FWO

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/CSZF7FWOCQXDK5M43D6Y5MZT5G \
  | 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: 14b25f96ce142e35759cd8fd8eb333e99f4fec8e0fdf0ea73030ebdd3bbabde8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ce7cdc324fbfa2fc2a14d9c3ca3b9feece572ac57a4722469452550cba6fc7b",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-23T16:04:18Z",
    "title_canon_sha256": "730517c092216930473c1bd3f1b19836b0e0527ec8fda5ab0c8bf57f3354f21c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5858",
    "kind": "arxiv",
    "version": 3
  }
}