Pith Number

pith:DOVN2L2D

pith:2006:DOVN2L2DT7UZUNL2ESAZGDIANU

not attested not anchored not stored refs pending

Reciprocal transmittances and reflectances: An elementary proof

A. S. Vengurlekar, Masanobu Iwanaga, Takafumi Hatano, Teruya Ishihara

arxiv:physics/0610143 v4 · 2006-10-19 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOVN2L2DT7UZUNL2ESAZGDIANU}

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	2026-05-18T04:08:52.622994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1baadd2f439fe99a357a2481930d006d1bfd67b98ad6cb9501423816c4217906

Aliases

arxiv: physics/0610143 · arxiv_version: physics/0610143v4 · doi: 10.48550/arxiv.physics/0610143 · pith_short_12: DOVN2L2DT7UZ · pith_short_16: DOVN2L2DT7UZUNL2 · pith_short_8: DOVN2L2D

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/DOVN2L2DT7UZUNL2ESAZGDIANU \
  | 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: 1baadd2f439fe99a357a2481930d006d1bfd67b98ad6cb9501423816c4217906

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cd14f8d6b5e1aa82a57f5a44d664cb0b742ed7372584b25414c814998599ce3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2006-10-19T06:03:18Z",
    "title_canon_sha256": "da7c0c61d2ab4520047e4fe3339481b7162b32a5a55163a23748fea9850185eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0610143",
    "kind": "arxiv",
    "version": 4
  }
}