Pith Number

pith:ZWAHP747

pith:2015:ZWAHP747J5EWVY7PJP2CRE5D5M

not attested not anchored not stored refs pending

Lorentz Dispersion Law from classical Hydrogen electron orbits in AC electric field via geometric algebra

Akimasa Yoshikawa, Angeleene S. Ang, Daniel J. McNamara, Quirino M. Sugon Jr., Uzziel Perez

arxiv:1507.04509 v1 · 2015-07-16 · physics.atom-ph · physics.class-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{ZWAHP747J5EWVY7PJP2CRE5D5M}

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	2026-05-18T01:36:47.165561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd8077ff9f4f496ae3ef4bf42893a3eb31c965a733f97d5c464b01e9cae85b5e

Aliases

arxiv: 1507.04509 · arxiv_version: 1507.04509v1 · doi: 10.48550/arxiv.1507.04509 · pith_short_12: ZWAHP747J5EW · pith_short_16: ZWAHP747J5EWVY7P · pith_short_8: ZWAHP747

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/ZWAHP747J5EWVY7PJP2CRE5D5M \
  | 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: cd8077ff9f4f496ae3ef4bf42893a3eb31c965a733f97d5c464b01e9cae85b5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6a602ef3cd223ca9c90135b105ba06501dbd126714cde8c5237ddca7c42760a",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2015-07-16T09:50:42Z",
    "title_canon_sha256": "73b58fc9acc10bf7972247ccd198176ec6852a54869ab1f10ca7a883e91da0d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04509",
    "kind": "arxiv",
    "version": 1
  }
}