Pith Number

pith:QT3J6JAR

pith:2025:QT3J6JARKOPIJNXEJW7VIWYTOP

not attested not anchored not stored refs pending

Optical spatiotemporal Fourier synthesis: Tutorial

Ayman F. Abouraddy, Murat Yessenov

arxiv:2504.18675 v1 · 2025-04-25 · 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{QT3J6JARKOPIJNXEJW7VIWYTOP}

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	2026-07-05T10:54:18.815924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84f69f2411539e84b6e44dbf545b1373fd69f34509c1e2480eadfeda3020ccd1

Aliases

arxiv: 2504.18675 · arxiv_version: 2504.18675v1 · doi: 10.48550/arxiv.2504.18675 · pith_short_12: QT3J6JARKOPI · pith_short_16: QT3J6JARKOPIJNXE · pith_short_8: QT3J6JAR

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/QT3J6JARKOPIJNXEJW7VIWYTOP \
  | 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: 84f69f2411539e84b6e44dbf545b1373fd69f34509c1e2480eadfeda3020ccd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e4aa4986f9e4c2b2928b113865f166e760a45c782d30a328e938823a9e6e393",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-04-25T19:54:58Z",
    "title_canon_sha256": "92dc01c29445b0f68ebc8d54ca552fb74e6bd91ed2186735d63495f3ba89bae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.18675",
    "kind": "arxiv",
    "version": 1
  }
}