Pith Number

pith:SUSXT4XM

pith:2026:SUSXT4XM2NGEEFCI7QASANEDUI

not attested not anchored not stored refs pending

A 100x Faster Beam Propagation Method for Nonlinear Optical Wave Propagation Based on Discrete Exterior Calculus

Amgad Abdrabou, R. El-Ganainy

arxiv:2608.03587 v1 · 2026-08-04 · physics.optics · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SUSXT4XM2NGEEFCI7QASANEDUI}

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	2026-08-05T01:36:42.472587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

952579f2ecd34c421448fc01203483a2307745f1483405efd6fbd5be4d592a22

Aliases

arxiv: 2608.03587 · arxiv_version: 2608.03587v1 · doi: 10.48550/arxiv.2608.03587 · pith_short_12: SUSXT4XM2NGE · pith_short_16: SUSXT4XM2NGEEFCI · pith_short_8: SUSXT4XM

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/SUSXT4XM2NGEEFCI7QASANEDUI \
  | 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: 952579f2ecd34c421448fc01203483a2307745f1483405efd6fbd5be4d592a22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a232fc451eccfac5078c0984240229858348ad7eb0b070c0efa4df6a0f4cab9a",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-08-04T12:42:03Z",
    "title_canon_sha256": "66345d5c1fd02747d09daefb489a50b78b114f68ff44b0639c7ed47cc3caf7b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03587",
    "kind": "arxiv",
    "version": 1
  }
}