Pith Number

pith:RTB6XXNV

pith:2026:RTB6XXNVFGE3QFHRABY2PDJTZD

not attested not anchored not stored refs pending

Bound state solutions of the Schr\"odinger equation for the atomic systems interacting with the radial screened Coulomb potential: analytical approximation methods

Fatma Zohra Khaled, Mokhtar Falek, Mustafa Moumni

arxiv:2607.19197 v1 · 2026-07-21 · 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{RTB6XXNVFGE3QFHRABY2PDJTZD}

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	2026-07-22T01:24:13.726717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cc3ebddb52989b814f10071a78d33c8d3b87d2312db53dda06b3b5f50736d42

Aliases

arxiv: 2607.19197 · arxiv_version: 2607.19197v1 · doi: 10.48550/arxiv.2607.19197 · pith_short_12: RTB6XXNVFGE3 · pith_short_16: RTB6XXNVFGE3QFHR · pith_short_8: RTB6XXNV

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/RTB6XXNVFGE3QFHRABY2PDJTZD \
  | 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: 8cc3ebddb52989b814f10071a78d33c8d3b87d2312db53dda06b3b5f50736d42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbbe863a3a8a242d9a20fd27e4a8ea0fc33bb09e8134f220c503b258bf12f3aa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-21T15:31:22Z",
    "title_canon_sha256": "1484ea72be27bd0705e88958d749097424a659434554c1d212c7b64f28fb151a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19197",
    "kind": "arxiv",
    "version": 1
  }
}