Pith Number

pith:IZMBV64C

pith:2003:IZMBV64C5FTI4RVVINDWAU3NMI

not attested not anchored not stored refs pending

New recursion relations of matrix elements of $r^\lambda$ and $\beta r^\lambda$ between relativistic hydrogenic eigenstates

A. L. Salas-Brito, H. N. N\'u\~nez-Y\'epez, R. P. Mart\'inez-y-Romero

arxiv:physics/0304049 v1 · 2003-04-12 · physics.atom-ph · physics.chem-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{IZMBV64C5FTI4RVVINDWAU3NMI}

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	2026-05-18T01:08:59.592460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46581afb82e9668e46b5434760536d62147c8f44d3c4508ee0a8c895cf56a3c3

Aliases

arxiv: physics/0304049 · arxiv_version: physics/0304049v1 · doi: 10.48550/arxiv.physics/0304049 · pith_short_12: IZMBV64C5FTI · pith_short_16: IZMBV64C5FTI4RVV · pith_short_8: IZMBV64C

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/IZMBV64C5FTI4RVVINDWAU3NMI \
  | 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: 46581afb82e9668e46b5434760536d62147c8f44d3c4508ee0a8c895cf56a3c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e53a68532452e1a0ea8b6607be4ee01f7e67ca1e5e5f204a7e474563b586608",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2003-04-12T00:43:57Z",
    "title_canon_sha256": "127ae23486f1a2c4f4f7c11b140f43864097f0f4dc50c2e344acfb049b33ab15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0304049",
    "kind": "arxiv",
    "version": 1
  }
}