Pith Number

pith:DYGN6SJ3

pith:2005:DYGN6SJ3DBVMNSKDC2Q45BXFXG

not attested not anchored not stored refs pending

Solution of the Dirac equation with non-minimal coupling to noncentral three-vector potential

A. D. Alhaidari

arxiv:hep-th/0503054 v1 · 2005-03-07 · 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{DYGN6SJ3DBVMNSKDC2Q45BXFXG}

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	2026-05-18T04:36:59.972698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e0cdf493b186ac6c94316a1ce86e5b9a143d7fe4e107152ee209bfdf62cdf9b

Aliases

arxiv: hep-th/0503054 · arxiv_version: hep-th/0503054v1 · doi: 10.48550/arxiv.hep-th/0503054 · pith_short_12: DYGN6SJ3DBVM · pith_short_16: DYGN6SJ3DBVMNSKD · pith_short_8: DYGN6SJ3

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/DYGN6SJ3DBVMNSKDC2Q45BXFXG \
  | 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: 1e0cdf493b186ac6c94316a1ce86e5b9a143d7fe4e107152ee209bfdf62cdf9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98655f238be34328f2c2f9ef7b5ede63b43d14cf9c621b46cb3000e16c1b7630",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-03-07T09:15:10Z",
    "title_canon_sha256": "6a92e7b1434500800894cdba2b65ee287d7f6a1059a7d4c57de8f6359ea8413c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0503054",
    "kind": "arxiv",
    "version": 1
  }
}