Pith Number

pith:MRUUVRNN

pith:2026:MRUUVRNNUPSZREPND5XBRBODAZ

not attested not anchored not stored refs pending

End-to-end meta-imagers: Information-theoretic objectives and generalized focusing optima

Lukas Kienesberger, Owen D. Miller, Yaxi Liu, Zeyu Kuang

arxiv:2606.16724 v2 · 2026-06-15 · 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{MRUUVRNNUPSZREPND5XBRBODAZ}

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

VLM-Aware Meta-Optic Front-End Design for Frozen Vision-Language Models

Receipt and verification

First computed	2026-07-27T00:20:07.457202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64694ac5ada3e59891ed1f6e1885c30666e98c38e2f19f31fd42bd815e26a011

Aliases

arxiv: 2606.16724 · arxiv_version: 2606.16724v2 · doi: 10.48550/arxiv.2606.16724 · pith_short_12: MRUUVRNNUPSZ · pith_short_16: MRUUVRNNUPSZREPN · pith_short_8: MRUUVRNN

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/MRUUVRNNUPSZREPND5XBRBODAZ \
  | 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: 64694ac5ada3e59891ed1f6e1885c30666e98c38e2f19f31fd42bd815e26a011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccd1cdf2e7972a11a87467692c9041507c5cbee225d6f98a60e11706426e2c20",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-06-15T13:51:03Z",
    "title_canon_sha256": "2df2c95cd10491ad2a7138e85a96763014aec591b8d0b0b1bde2db3e38f76780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.16724",
    "kind": "arxiv",
    "version": 2
  }
}