Pith Number

pith:2QDMMEVJ

pith:2025:2QDMMEVJUYREITE4JGZJYN57U6

not attested not anchored not stored refs pending

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

Jean-Philippe Karr, Vladimir I. Korobov, Zhen-Xiang Zhong

arxiv:2506.22164 v1 · 2025-06-27 · 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{2QDMMEVJUYREITE4JGZJYN57U6}

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	2026-07-05T11:28:23.000392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d406c612a9a622444c9c49b29c37bfa7ba694edf24de73f1f34d1679eb2e6f88

Aliases

arxiv: 2506.22164 · arxiv_version: 2506.22164v1 · doi: 10.48550/arxiv.2506.22164 · pith_short_12: 2QDMMEVJUYRE · pith_short_16: 2QDMMEVJUYREITE4 · pith_short_8: 2QDMMEVJ

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/2QDMMEVJUYREITE4JGZJYN57U6 \
  | 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: d406c612a9a622444c9c49b29c37bfa7ba694edf24de73f1f34d1679eb2e6f88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0fda445467a9aa0e0c4a176a955d71d682ac387263aa887df8c8e1334260d8d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2025-06-27T12:20:51Z",
    "title_canon_sha256": "443e24445f903a72b1d41414982cfa1f31b49705140b05e60dfe3e07c95bc706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22164",
    "kind": "arxiv",
    "version": 1
  }
}