Pith Number

pith:N73DCUQ6

pith:2015:N73DCUQ6HQXL7LPJY3EL6JWAMU

not attested not anchored not stored refs pending

Second Kind Integral Equation Formulation for the Mode Calculation of Optical Waveguides

Jun Lai, Shidong Jiang

arxiv:1512.01117 v1 · 2015-12-03 · 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{N73DCUQ6HQXL7LPJY3EL6JWAMU}

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	2026-05-18T01:25:18.907824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ff631521e3c2ebfade9c6c8bf26c0653db32e65d04aa02573c6d5eba188c828

Aliases

arxiv: 1512.01117 · arxiv_version: 1512.01117v1 · doi: 10.48550/arxiv.1512.01117 · pith_short_12: N73DCUQ6HQXL · pith_short_16: N73DCUQ6HQXL7LPJ · pith_short_8: N73DCUQ6

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/N73DCUQ6HQXL7LPJY3EL6JWAMU \
  | 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: 6ff631521e3c2ebfade9c6c8bf26c0653db32e65d04aa02573c6d5eba188c828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "797f29be10904c0d01d8948ba1c104b2b4797202b15ef45adaf5492aac693408",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-03T15:39:32Z",
    "title_canon_sha256": "1d9d645c6eb6f6662d6fc0f59a36b8e12eeee3b35571407fc9c7ab28b33d445c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01117",
    "kind": "arxiv",
    "version": 1
  }
}