Pith Number

pith:Y5EL3DVT

pith:2014:Y5EL3DVTWNHUXBQHIWIQ4BBHYH

not attested not anchored not stored refs pending

Directional localization of light rays in a periodic array of retro-reflector lenses

Krzysztof Fraczek, Martin Schmoll

arxiv:1405.2423 v1 · 2014-05-10 · math.DS · math-ph · math.MP · 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{Y5EL3DVTWNHUXBQHIWIQ4BBHYH}

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	2026-05-18T01:42:57.494465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c748bd8eb3b34f4b860745910e0427c1eebbba1eb5779ddb16b08ee02b3834e9

Aliases

arxiv: 1405.2423 · arxiv_version: 1405.2423v1 · doi: 10.48550/arxiv.1405.2423 · pith_short_12: Y5EL3DVTWNHU · pith_short_16: Y5EL3DVTWNHUXBQH · pith_short_8: Y5EL3DVT

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/Y5EL3DVTWNHUXBQHIWIQ4BBHYH \
  | 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: c748bd8eb3b34f4b860745910e0427c1eebbba1eb5779ddb16b08ee02b3834e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86d98297311f55874937e32b5663ed8ba84ed9e39cf9285b4e484daceeacb503",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-10T11:45:15Z",
    "title_canon_sha256": "804c4ab6bcc086e6fbe83e3d80ccc1bd747ad52abf329c015514d8b0819b7df0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2423",
    "kind": "arxiv",
    "version": 1
  }
}