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Pith Number

pith:MIINSZI7

pith:2010:MIINSZI765EZDCAWP2CS5H3X7R
not attested not anchored not stored refs pending

Is it possible to accommodate massive photons in the framework of a gauge-invariant electrodynamics?

A. A. Vargas-Paredes, M. V. S. Fonseca

arxiv:1005.3480 v1 · 2010-05-19 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MIINSZI765EZDCAWP2CS5H3X7R}

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 2026-05-18T02:07:16.865160Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6210d9651ff7499188167e852e9f77fc5e99438e2732e1deef95f3e49b043887

Aliases

arxiv: 1005.3480 · arxiv_version: 1005.3480v1 · doi: 10.48550/arxiv.1005.3480 · pith_short_12: MIINSZI765EZ · pith_short_16: MIINSZI765EZDCAW · pith_short_8: MIINSZI7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MIINSZI765EZDCAWP2CS5H3X7R \
  | 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: 6210d9651ff7499188167e852e9f77fc5e99438e2732e1deef95f3e49b043887
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fb3044c8a236d337217fe0de2f8cf399e99b8fddab45ae781f38e0c124894913",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-05-19T16:13:39Z",
    "title_canon_sha256": "9c2286393a77a0531add060eed6fa583e4b439ea280664e1bc258d0724148a95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3480",
    "kind": "arxiv",
    "version": 1
  }
}