Pith. sign in
Pith Number

pith:HFQ7EBPY

pith:2003:HFQ7EBPYJX72TFAZXBHYUXHGO7
not attested not anchored not stored refs pending

Torsion nonminimally coupled to the electromagnetic field and birefringence

Friedrich W. Hehl, Guillermo F. Rubilar, Yuri N. Obukhov

arxiv:gr-qc/0305049 v1 · 2003-05-13 · gr-qc · astro-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HFQ7EBPYJX72TFAZXBHYUXHGO7}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-04T16:40:12.639084Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3961f205f84dffa99419b84f8a5ce677cf17e4e2447771732b1d9b607026c6e5

Aliases

arxiv: gr-qc/0305049 · arxiv_version: gr-qc/0305049v1 · doi: 10.48550/arxiv.gr-qc/0305049 · pith_short_12: HFQ7EBPYJX72 · pith_short_16: HFQ7EBPYJX72TFAZ · pith_short_8: HFQ7EBPY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HFQ7EBPYJX72TFAZXBHYUXHGO7 \
  | 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: 3961f205f84dffa99419b84f8a5ce677cf17e4e2447771732b1d9b607026c6e5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2bceb9ce952efe58b941111a44b195031ca5c4b2c4a3f3f508bb690628dabef0",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-05-13T18:18:34Z",
    "title_canon_sha256": "add0c8e4779346c098458c64d3ff2bd140a1300c811d756ffdb5ea2b363118f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0305049",
    "kind": "arxiv",
    "version": 1
  }
}