Pith Number

pith:COUH3X3D

pith:2000:COUH3X3DIF3RCYMV6QOIXGQNYR

not attested not anchored not stored refs pending

Exact Solutions of the two-dimensional Schr\"{o}dinger equation with certain central potentials

Shi-Hai Dong

arxiv:quant-ph/0003100 v1 · 2000-03-22 · 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{COUH3X3DIF3RCYMV6QOIXGQNYR}

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.

Cited by

1 paper in Pith

Landau levels in a gravitational field: The Schwarzschild spacetime case

Receipt and verification

First computed	2026-07-04T14:45:27.250228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13a87ddf634177116195f41c8b9a0dc44b0c2082ec1cc4171a731b279cca03c7

Aliases

arxiv: quant-ph/0003100 · arxiv_version: quant-ph/0003100v1 · doi: 10.48550/arxiv.quant-ph/0003100 · pith_short_12: COUH3X3DIF3R · pith_short_16: COUH3X3DIF3RCYMV · pith_short_8: COUH3X3D

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/COUH3X3DIF3RCYMV6QOIXGQNYR \
  | 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: 13a87ddf634177116195f41c8b9a0dc44b0c2082ec1cc4171a731b279cca03c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c385eee29e09456194130eb3e80ecc55585ae60ffa53cecd5b8c7b2c3ad81925",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-03-22T01:33:35Z",
    "title_canon_sha256": "b693db04f7eb910d1d4995ba52fe340bad7df763262ff56ea90915a8d41c3411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0003100",
    "kind": "arxiv",
    "version": 1
  }
}