Pith Number

pith:BCRTGXLL

pith:1998:BCRTGXLL7FI7KSISD26YU77WW3

not attested not anchored not stored refs pending

Fractal Diffraction Grating

Dongsu Bak, Jae Hyung Yee, Kwang-Sup Soh, Sang Pyo Kim, Sung Ku Kim

arxiv:physics/9802007 v1 · 1998-02-04 · physics.optics · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCRTGXLL7FI7KSISD26YU77WW3}

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	2026-07-04T14:44:54.014607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08a3335d6bf951f549121ebd8a7ff6b6c2d7fe65eabe56fb25bc81d6e572f373

Aliases

arxiv: physics/9802007 · arxiv_version: physics/9802007v1 · doi: 10.48550/arxiv.physics/9802007 · pith_short_12: BCRTGXLL7FI7 · pith_short_16: BCRTGXLL7FI7KSIS · pith_short_8: BCRTGXLL

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/BCRTGXLL7FI7KSISD26YU77WW3 \
  | 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: 08a3335d6bf951f549121ebd8a7ff6b6c2d7fe65eabe56fb25bc81d6e572f373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30c5f7748162a52d65b7399301678f301215a009904d1de81e7535831ccd4e73",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "1998-02-04T04:25:57Z",
    "title_canon_sha256": "a04e16d606e10f14782b298eb6090d836cd28225a7f3f8280537d6dd11ef4d5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/9802007",
    "kind": "arxiv",
    "version": 1
  }
}