Pith Number

pith:TGH6S4OE

pith:2010:TGH6S4OE37IJU5JIDEDVMQDONL

not attested not anchored not stored refs pending

Extension of the sum rule for the transition rates between multiplets to the multiphoton case

A. Volotka, D. Solovyev, G. Plunien, L. Labzowsky

arxiv:1006.4922 v1 · 2010-06-25 · 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{TGH6S4OE37IJU5JIDEDVMQDONL}

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	2026-05-18T04:07:40.715941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998fe971c4dfd09a7528190756406e6adec7bb40f0382ae33928c68f1b4cf0d1

Aliases

arxiv: 1006.4922 · arxiv_version: 1006.4922v1 · doi: 10.48550/arxiv.1006.4922 · pith_short_12: TGH6S4OE37IJ · pith_short_16: TGH6S4OE37IJU5JI · pith_short_8: TGH6S4OE

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/TGH6S4OE37IJU5JIDEDVMQDONL \
  | 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: 998fe971c4dfd09a7528190756406e6adec7bb40f0382ae33928c68f1b4cf0d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc073d45016ba6b46c23077d21b3dea567c0d788a6e0c241c03cf2eb4375f5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2010-06-25T07:44:01Z",
    "title_canon_sha256": "55739512cc30dd1f4569b76e0ad6c7105662d8b03f48aecd13e2b746739f5c14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4922",
    "kind": "arxiv",
    "version": 1
  }
}