Pith Number

pith:LODGCOTD

pith:2025:LODGCOTDHHLXLWRE7DYECGSZGX

not attested not anchored not stored refs pending

Relativistic recoil corrections of order \boldmath$m(Z\alpha)^6(m/M)$: Hydrogen-like atom and hydrogen molecular ion

Vladimir I Korobov

arxiv:2506.03644 v2 · 2025-06-04 · physics.atom-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{LODGCOTDHHLXLWRE7DYECGSZGX}

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

Second-order corrections of orders $m\alpha^6$ and $m\alpha^6(m/M)$ to the spin-averaged energy in the HD$^+$ and H$_2^+$ ions

Receipt and verification

First computed	2026-07-05T11:52:02.546869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b86613a6339d775da24f8f0411a5935d04c8cdd3bf3a58f0a570c9fb5b3ef06

Aliases

arxiv: 2506.03644 · arxiv_version: 2506.03644v2 · doi: 10.48550/arxiv.2506.03644 · pith_short_12: LODGCOTDHHLX · pith_short_16: LODGCOTDHHLXLWRE · pith_short_8: LODGCOTD

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/LODGCOTDHHLXLWRE7DYECGSZGX \
  | 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: 5b86613a6339d775da24f8f0411a5935d04c8cdd3bf3a58f0a570c9fb5b3ef06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a23bca76ec1e6f0b3a8533c74a96da00907f522c95bd5ffd656e8ca3bbdf05e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2025-06-04T07:40:44Z",
    "title_canon_sha256": "0cb0d03826552315f94638eeb77971684e006ef174ccc6288c4f99ca13925b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03644",
    "kind": "arxiv",
    "version": 2
  }
}