Pith Number

pith:GJ4JHDPM

pith:2026:GJ4JHDPMI26JHJFT225P2EMQRP

not attested not anchored not stored refs pending

Toroidal Transitions in Hydrogenic and Alkali Atoms

David Wilkowski, Kai Xiang Lee, Kelvin Lim, Vincent Mancois

arxiv:2607.19832 v1 · 2026-07-22 · physics.atom-ph · quant-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{GJ4JHDPMI26JHJFT225P2EMQRP}

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	2026-07-23T01:24:02.563704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3278938dec46bc93a4b3d6bafd11908bcc61b7a029f3752c57dde9a262f57078

Aliases

arxiv: 2607.19832 · arxiv_version: 2607.19832v1 · doi: 10.48550/arxiv.2607.19832 · pith_short_12: GJ4JHDPMI26J · pith_short_16: GJ4JHDPMI26JHJFT · pith_short_8: GJ4JHDPM

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/GJ4JHDPMI26JHJFT225P2EMQRP \
  | 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: 3278938dec46bc93a4b3d6bafd11908bcc61b7a029f3752c57dde9a262f57078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df389f406273336747ed1205763e44367d13b58914d48ee0c15ee02a2256776d",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2026-07-22T07:11:28Z",
    "title_canon_sha256": "aa069eb142725d10795db4b4f14cf3d8d452b86be4efd8a8ea38d6ffe8afa8a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19832",
    "kind": "arxiv",
    "version": 1
  }
}