Pith Number

pith:PP3U5N2J

pith:2026:PP3U5N2JUORTM6SXVOXASLYS7G

not attested not anchored not stored refs pending

Foldy--Wouthuysen Transformation of the Generalized Dirac Equation in Symmetric Teleparallel Gravity

Ali Bagci, Caglar Pala, Muzaffer Adak, Sabutay Ugur

arxiv:2607.27889 v1 · 2026-07-30 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PP3U5N2JUORTM6SXVOXASLYS7G}

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	2026-07-31T01:34:34.855581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

7bf74eb749a3a3367a57abae092f12f9a2ddc84e6f3b7dba436ad9fe37372585

Aliases

arxiv: 2607.27889 · arxiv_version: 2607.27889v1 · doi: 10.48550/arxiv.2607.27889 · pith_short_12: PP3U5N2JUORT · pith_short_16: PP3U5N2JUORTM6SX · pith_short_8: PP3U5N2J

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/PP3U5N2JUORTM6SXVOXASLYS7G \
  | 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: 7bf74eb749a3a3367a57abae092f12f9a2ddc84e6f3b7dba436ad9fe37372585

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a557844b2e7abcc897894075ffaeab4b679199082cec546d5d23e2467f7fc50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-30T09:04:22Z",
    "title_canon_sha256": "a021ecbe921fc13e1bf3a23ecbd1f09785ad0846cb0efc95ff35dc6523515582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27889",
    "kind": "arxiv",
    "version": 1
  }
}