Pith Number

pith:C5OXYC2D

pith:2026:C5OXYC2D5WIDMONJNKVXLQSF2P

not attested not anchored not stored refs pending

Learning light scattering from operator parameter spaces to Galerkin-consistent solution spaces

Jingwei Wang, Lida Liu, Wei Cao, Yang Zhang, Yuntian Chen

arxiv:2606.13320 v1 · 2026-06-11 · 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{C5OXYC2D5WIDMONJNKVXLQSF2P}

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	2026-06-12T01:09:52.310137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

175d7c0b43ed903639a96aab75c245d3f19e42ac42717892913f6e1d4f67ef92

Aliases

arxiv: 2606.13320 · arxiv_version: 2606.13320v1 · doi: 10.48550/arxiv.2606.13320 · pith_short_12: C5OXYC2D5WID · pith_short_16: C5OXYC2D5WIDMONJ · pith_short_8: C5OXYC2D

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/C5OXYC2D5WIDMONJNKVXLQSF2P \
  | 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: 175d7c0b43ed903639a96aab75c245d3f19e42ac42717892913f6e1d4f67ef92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8e3edcf3ed8e8ade565518fbde4cb0dbeea73a37039af4ee18b0032285b7e73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-06-11T13:13:57Z",
    "title_canon_sha256": "d456f3795067963517ec209889304a7640fb0ce2d1f96b58711a07b352e3925a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13320",
    "kind": "arxiv",
    "version": 1
  }
}