Pith Number

pith:2XNGG2EG

pith:2008:2XNGG2EGOLGPL6RUMHX34EJKML

not attested not anchored not stored refs pending

Symmetry and reciprocity constraints on diffraction by gratings of quasi-planar particles

D.K. Morits, S.A. Tretyakov, S.I. Maslovski

arxiv:0811.0084 v1 · 2008-11-01 · 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{2XNGG2EGOLGPL6RUMHX34EJKML}

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	2026-05-18T02:15:22.544036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5da63688672ccf5fa3461efbe112a62c9c328dcf894e1a431baa60bca368d71

Aliases

arxiv: 0811.0084 · arxiv_version: 0811.0084v1 · doi: 10.48550/arxiv.0811.0084 · pith_short_12: 2XNGG2EGOLGP · pith_short_16: 2XNGG2EGOLGPL6RU · pith_short_8: 2XNGG2EG

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/2XNGG2EGOLGPL6RUMHX34EJKML \
  | 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: d5da63688672ccf5fa3461efbe112a62c9c328dcf894e1a431baa60bca368d71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69d501bd345435a8907d7682a43ca9f94885b09b62f63d8eb9acb2fae844f362",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2008-11-01T11:05:26Z",
    "title_canon_sha256": "4182f1123de95a9a778668547ddb49b1863c516074e97a4016d1153c53096f3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0084",
    "kind": "arxiv",
    "version": 1
  }
}