Pith Number

pith:WUQRBR4W

pith:2013:WUQRBR4WFS36P6UQSF4QUFEXDE

not attested not anchored not stored refs pending

Finite Element Method (Chapter from "Gratings: Theory and Numeric Applications")

Andr\'e Nicolet, Benjamin Vial, Fr\'ed\'eric Zolla, Guillaume Dem\'esy

arxiv:1302.1032 v1 · 2013-02-05 · 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{WUQRBR4WFS36P6UQSF4QUFEXDE}

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	2026-05-18T03:34:26.361854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b52110c7962cb7e7fa9091790a149719125d41112e83611efcdc01746b357338

Aliases

arxiv: 1302.1032 · arxiv_version: 1302.1032v1 · doi: 10.48550/arxiv.1302.1032 · pith_short_12: WUQRBR4WFS36 · pith_short_16: WUQRBR4WFS36P6UQ · pith_short_8: WUQRBR4W

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/WUQRBR4WFS36P6UQSF4QUFEXDE \
  | 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: b52110c7962cb7e7fa9091790a149719125d41112e83611efcdc01746b357338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d82db9032f94e31375015e4b2acf933d48f661e355320accd4c4e092d2c8a0f9",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-02-05T13:36:26Z",
    "title_canon_sha256": "9c005d4b3e256ceee1c6293d29637452ad8b5eaea40b9a4f62af3ec45b9f0f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1032",
    "kind": "arxiv",
    "version": 1
  }
}