Pith Number

pith:SZRXYL52

pith:2013:SZRXYL52B2UNADCV5H2TI7YFG2

not attested not anchored not stored refs pending

Multi-focal spherical media and geodesic lenses in geometrical optics

Martin Sarbort, Tomas Tyc

arxiv:1305.0696 v1 · 2013-05-03 · 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{SZRXYL52B2UNADCV5H2TI7YFG2}

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	2026-05-18T02:49:47.196187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96637c2fba0ea8d00c55e9f5347f0536aed66e1d1e123a0ea98e92c9bf93ae91

Aliases

arxiv: 1305.0696 · arxiv_version: 1305.0696v1 · doi: 10.48550/arxiv.1305.0696 · pith_short_12: SZRXYL52B2UN · pith_short_16: SZRXYL52B2UNADCV · pith_short_8: SZRXYL52

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/SZRXYL52B2UNADCV5H2TI7YFG2 \
  | 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: 96637c2fba0ea8d00c55e9f5347f0536aed66e1d1e123a0ea98e92c9bf93ae91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d8d89bb0b97cb9b3cbb059a59dd0118a574522fd4b18f76df0437101cb0e45e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-05-03T13:19:30Z",
    "title_canon_sha256": "9091278887fee9ba29fd501c6b5cf446027826411c520be0c3f4c9e687b32624"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0696",
    "kind": "arxiv",
    "version": 1
  }
}