Pith Number

pith:HPXFMUWQ

pith:2018:HPXFMUWQZEHSIHKJQDPMA6OHTP

not attested not anchored not stored refs pending

The Exact Foldy-Wouthuysen Transformation for a Dirac Theory Revisited

Baltazar J. Ribeiro, Bruno Gon\c{c}alves, M\'ario M. Dias J\'unior

arxiv:1812.11657 v2 · 2018-12-31 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPXFMUWQZEHSIHKJQDPMA6OHTP}

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	2026-05-17T23:45:31.278677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bee5652d0c90f241d4980dec079c79bc2721e485a946c18d2f208ad707772fb

Aliases

arxiv: 1812.11657 · arxiv_version: 1812.11657v2 · doi: 10.48550/arxiv.1812.11657 · pith_short_12: HPXFMUWQZEHS · pith_short_16: HPXFMUWQZEHSIHKJ · pith_short_8: HPXFMUWQ

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/HPXFMUWQZEHSIHKJQDPMA6OHTP \
  | 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: 3bee5652d0c90f241d4980dec079c79bc2721e485a946c18d2f208ad707772fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a8f2ae52dbbabd2240ddf448687c8ad37f69086e2cd6cbcaca73e3611075265",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-12-31T01:00:31Z",
    "title_canon_sha256": "4183efbe9632a2642180c618c6232655c9fbd3b61e417755c5027b86d033e713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11657",
    "kind": "arxiv",
    "version": 2
  }
}