Pith Number

pith:3GRKFTDM

pith:2016:3GRKFTDMORXGO2SPGAAARCNQQU

not attested not anchored not stored refs pending

The Centroid Shifts of Light Beams Reflected from Multi-Layers and the Effects of Angular Momentum Manifestations

Guillermo F. Quinteiro, Mark E. Siemens, Mark T. Lusk

arxiv:1609.06945 v1 · 2016-09-22 · 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{3GRKFTDMORXGO2SPGAAARCNQQU}

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	2026-05-18T01:04:04.773735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a2a2cc6c746e676a4f30000889b08539f07fcdeb2ad19602d4c8ef85d64b38

Aliases

arxiv: 1609.06945 · arxiv_version: 1609.06945v1 · doi: 10.48550/arxiv.1609.06945 · pith_short_12: 3GRKFTDMORXG · pith_short_16: 3GRKFTDMORXGO2SP · pith_short_8: 3GRKFTDM

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/3GRKFTDMORXGO2SPGAAARCNQQU \
  | 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: d9a2a2cc6c746e676a4f30000889b08539f07fcdeb2ad19602d4c8ef85d64b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "accc576754fc1c9817279782feb66b036588e635d7077e98ca7923e2d3a584ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-09-22T12:45:58Z",
    "title_canon_sha256": "2815000104f66d5943b65e0fe00e266fe7f6584d50344c874e17b54a79d52537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06945",
    "kind": "arxiv",
    "version": 1
  }
}