Pith Number

pith:GS4ATHJD

pith:2014:GS4ATHJDKUQLWD6PDHPGCPUBEV

not attested not anchored not stored refs pending

Fresnel versus Kummer surfaces: geometrical optics in dispersionless linear (meta)materials and vacuum

Alberto Favaro, Friedrich W. Hehl

arxiv:1401.4077 v1 · 2014-01-16 · gr-qc · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GS4ATHJDKUQLWD6PDHPGCPUBEV}

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

Crystallography, Lorentz violation, and the Standard-Model Extension

Receipt and verification

First computed	2026-05-18T03:01:57.242661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34b8099d235520bb0fcf19de613e81257d9577f150fabbc68701ec7b461f7acf

Aliases

arxiv: 1401.4077 · arxiv_version: 1401.4077v1 · doi: 10.48550/arxiv.1401.4077 · pith_short_12: GS4ATHJDKUQL · pith_short_16: GS4ATHJDKUQLWD6P · pith_short_8: GS4ATHJD

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/GS4ATHJDKUQLWD6PDHPGCPUBEV \
  | 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: 34b8099d235520bb0fcf19de613e81257d9577f150fabbc68701ec7b461f7acf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a340e1efd13beab46f3ae52db0c48743d98d0a0164649411e2c381e31b16a6f",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-01-16T16:22:07Z",
    "title_canon_sha256": "96f144d657793bfc6879b88e244495831a3f111172cebeb8d2739476cbc21ee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4077",
    "kind": "arxiv",
    "version": 1
  }
}