Pith Number

pith:K4KRTWJ3

pith:2006:K4KRTWJ3BS4VKGJZN4LOEFPK5H

not attested not anchored not stored refs pending

Hydrogen atom in crossed electric and magnetic fields: Phase space topology and torus quantization via periodic orbits

J\"org Main, Stephan Gekle, Thomas Bartsch, T. Uzer

arxiv:physics/0610013 v1 · 2006-10-02 · physics.atom-ph · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4KRTWJ3BS4VKGJZN4LOEFPK5H}

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	2026-05-18T01:08:46.209050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571519d93b0cb95519396f16e215eae9e0379935b8ed068705a0a318a2961798

Aliases

arxiv: physics/0610013 · arxiv_version: physics/0610013v1 · doi: 10.48550/arxiv.physics/0610013 · pith_short_12: K4KRTWJ3BS4V · pith_short_16: K4KRTWJ3BS4VKGJZ · pith_short_8: K4KRTWJ3

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/K4KRTWJ3BS4VKGJZN4LOEFPK5H \
  | 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: 571519d93b0cb95519396f16e215eae9e0379935b8ed068705a0a318a2961798

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d69046600addc9b553be913475d5817e406dea406989f5976a23579fb152f1d9",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2006-10-02T15:29:52Z",
    "title_canon_sha256": "7b02fd81f97a0e6e01fcd6057edeea78d2e4eb7ef5a463197dc83ff1dceb244e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0610013",
    "kind": "arxiv",
    "version": 1
  }
}