Pith Number

pith:NMS7NL7K

pith:2017:NMS7NL7KICCGDTYLRLVX2UN4NN

not attested not anchored not stored refs pending

Accurate expansion of cylindrical paraxial waves for its straightforward implementation in electromagnetic scattering

Carlos J. Zapata-Rodriguez, Mahin Naserpour

arxiv:1705.08837 v1 · 2017-05-24 · physics.optics · physics.class-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{NMS7NL7KICCGDTYLRLVX2UN4NN}

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	2026-05-18T00:21:27.991101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b25f6afea408461cf0b8aeb7d51bc6b6b7a11a1d08dfd1594912980d81d9b71

Aliases

arxiv: 1705.08837 · arxiv_version: 1705.08837v1 · doi: 10.48550/arxiv.1705.08837 · pith_short_12: NMS7NL7KICCG · pith_short_16: NMS7NL7KICCGDTYL · pith_short_8: NMS7NL7K

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/NMS7NL7KICCGDTYLRLVX2UN4NN \
  | 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: 6b25f6afea408461cf0b8aeb7d51bc6b6b7a11a1d08dfd1594912980d81d9b71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8e64d769e973b484aeea57cabd55416231621a9c47db1050330fdc2791c60c3",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2017-05-24T16:12:10Z",
    "title_canon_sha256": "8fb071116c6fdfa52fc804e2bdb02c0e6520e99f9e8df1baa969ed66dc7e6f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08837",
    "kind": "arxiv",
    "version": 1
  }
}