Pith Number

pith:Y5Q3XEVA

pith:2009:Y5Q3XEVAVEZM62Z7G3POJR752I

not attested not anchored not stored refs pending

Duality Between Spatial and Angular Shift in Optical Reflection

A. Aiello, J. P. Woerdman, M. Merano

arxiv:0911.4691 v1 · 2009-11-24 · physics.optics · physics.gen-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{Y5Q3XEVAVEZM62Z7G3POJR752I}

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	2026-05-18T02:10:37.001103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c761bb92a0a932cf6b3f36dee4c7fdd227eccba83cc38d265afc7a65fe2f39e0

Aliases

arxiv: 0911.4691 · arxiv_version: 0911.4691v1 · doi: 10.48550/arxiv.0911.4691 · pith_short_12: Y5Q3XEVAVEZM · pith_short_16: Y5Q3XEVAVEZM62Z7 · pith_short_8: Y5Q3XEVA

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/Y5Q3XEVAVEZM62Z7G3POJR752I \
  | 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: c761bb92a0a932cf6b3f36dee4c7fdd227eccba83cc38d265afc7a65fe2f39e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5d0b06748cd41e31d0075284acfc259f2ce5fde0cb65643736f3d037f3c1c6f",
    "cross_cats_sorted": [
      "physics.gen-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2009-11-24T18:21:32Z",
    "title_canon_sha256": "e37883145eed64e1f7d39bb99edf9c32de11ad749ffc4602b767c2794f20d00b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4691",
    "kind": "arxiv",
    "version": 1
  }
}