Pith Number

pith:QEHGQ2MN

pith:2025:QEHGQ2MNFDARQOPPZYGRQ6PF25

not attested not anchored not stored refs pending

Optical Tautochrone and Squeezing Dynamics in Nonuniform Lattices

Alexander Szameit, Georgios A. Siviloglou, Ioannis Kiorpelidis, Konstantinos G. Makris, Matthias Heinrich

arxiv:2512.05811 v2 · 2025-12-05 · 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{QEHGQ2MNFDARQOPPZYGRQ6PF25}

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	2026-06-12T01:09:17.466506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

810e68698d28c11839efce0d1879e5d762893a39289e4d6d685f8a6ca4545b28

Aliases

arxiv: 2512.05811 · arxiv_version: 2512.05811v2 · doi: 10.48550/arxiv.2512.05811 · pith_short_12: QEHGQ2MNFDAR · pith_short_16: QEHGQ2MNFDARQOPP · pith_short_8: QEHGQ2MN

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/QEHGQ2MNFDARQOPPZYGRQ6PF25 \
  | 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: 810e68698d28c11839efce0d1879e5d762893a39289e4d6d685f8a6ca4545b28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe6144896fb26e057d69ffcf523653a24ccf923c0655bc772109e44ec4fa6091",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-12-05T15:30:25Z",
    "title_canon_sha256": "1f94d171dccdd5c2a93a9c4dde1b749779fee4d6b1bd986a8f4e7fc1d00b1148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.05811",
    "kind": "arxiv",
    "version": 2
  }
}