Pith Number

pith:DZY2ND2L

pith:2025:DZY2ND2LDRCQM73IGIA2AYS76E

not attested not anchored not stored refs pending

Relativistic Calculations of Energy Levels, Field Shift Factors, and Polarizabilities of Mercury and Copernicium

Hongxu Liu, Jize Han, Yanfeng Ge, Yanmei Yu, Yong Liu, Zhiguo Huang

arxiv:2507.18490 v1 · 2025-07-24 · 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{DZY2ND2LDRCQM73IGIA2AYS76E}

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	2026-07-05T11:42:48.889170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e71a68f4b1c45067f683201a0625ff10ccf7c2f69825b4479fe00c01e97d762

Aliases

arxiv: 2507.18490 · arxiv_version: 2507.18490v1 · doi: 10.48550/arxiv.2507.18490 · pith_short_12: DZY2ND2LDRCQ · pith_short_16: DZY2ND2LDRCQM73I · pith_short_8: DZY2ND2L

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/DZY2ND2LDRCQM73IGIA2AYS76E \
  | 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: 1e71a68f4b1c45067f683201a0625ff10ccf7c2f69825b4479fe00c01e97d762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c97b56883375b56882e5eb75f7be37a01643e6f029dcfdaad22a2e2a64b2fe64",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2025-07-24T15:03:31Z",
    "title_canon_sha256": "196e6f59a73cf2c4c55fa253c3dc58993017ae600ae5e3c58bba23934fd4e54d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18490",
    "kind": "arxiv",
    "version": 1
  }
}