Pith Number

pith:QGVPM6LL

pith:2019:QGVPM6LLC4KLWIBQSRKKYFXHVM

not attested not anchored not stored refs pending

A Simple Explanation for the Observed Power Law Distribution of Line Intensity in Complex Many-Electron Atoms

Julian C. Berengut, Keisuke Fujii

arxiv:1908.10464 v3 · 2019-08-26 · 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{QGVPM6LLC4KLWIBQSRKKYFXHVM}

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	2026-07-05T01:02:03.804837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81aaf6796b1714bb20309454ac16e7ab2dd143b25ed783a3853fce450451ba73

Aliases

arxiv: 1908.10464 · arxiv_version: 1908.10464v3 · doi: 10.48550/arxiv.1908.10464 · pith_short_12: QGVPM6LLC4KL · pith_short_16: QGVPM6LLC4KLWIBQ · pith_short_8: QGVPM6LL

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/QGVPM6LLC4KLWIBQSRKKYFXHVM \
  | 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: 81aaf6796b1714bb20309454ac16e7ab2dd143b25ed783a3853fce450451ba73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa7d39963431587cfc0d0174c9943aafd42da5c27c34b8593c42400e0beeac04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2019-08-26T03:42:24Z",
    "title_canon_sha256": "ac9c642bc84aca28f955abcbebfb8014276312dfddbe784be0cb8f221ad60806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10464",
    "kind": "arxiv",
    "version": 3
  }
}