Pith Number

pith:H2NUIJ6H

pith:2026:H2NUIJ6H4BXGBCJONQEDT2OOPL

not attested not anchored not stored refs pending

Let There Be Light: Reflection, Refraction and Scattering for Neural Operators

Jingrun Chen, Keke Wu, Yixuan Zhang

arxiv:2606.03262 v1 · 2026-06-02 · cs.LG · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H2NUIJ6H4BXGBCJONQEDT2OOPL}

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	2026-06-03T01:05:36.571566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e9b4427c7e06e60892e6c0839e9ce7acd4723b5d51e1daad66f5909dffda7c8

Aliases

arxiv: 2606.03262 · arxiv_version: 2606.03262v1 · doi: 10.48550/arxiv.2606.03262 · pith_short_12: H2NUIJ6H4BXG · pith_short_16: H2NUIJ6H4BXGBCJO · pith_short_8: H2NUIJ6H

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/H2NUIJ6H4BXGBCJONQEDT2OOPL \
  | 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: 3e9b4427c7e06e60892e6c0839e9ce7acd4723b5d51e1daad66f5909dffda7c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "660fc3c3f634c1828e3726098659a823d58777f9d7397cde3d9d98d20e9f8751",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-02T07:25:49Z",
    "title_canon_sha256": "97c483607d7d11dcfa33d7a9280dd6a0bc12e3f7d87ce7c766b8f17e8b80e643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03262",
    "kind": "arxiv",
    "version": 1
  }
}