Pith Number

pith:7MDHTH7F

pith:2018:7MDHTH7F6VZXRVRGXPWPKE2COK

not attested not anchored not stored refs pending

Time-diffracting beams: On their nature, diffraction-free propagation as needles of light, and nonlinear generation

Miguel A. Porras

arxiv:1802.10475 v1 · 2018-02-28 · 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{7MDHTH7F6VZXRVRGXPWPKE2COK}

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	2026-05-18T00:13:27.399003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb06799fe5f57378d626bbecf5134272ab9c01a580fb72c3c505988055909e62

Aliases

arxiv: 1802.10475 · arxiv_version: 1802.10475v1 · doi: 10.48550/arxiv.1802.10475 · pith_short_12: 7MDHTH7F6VZX · pith_short_16: 7MDHTH7F6VZXRVRG · pith_short_8: 7MDHTH7F

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/7MDHTH7F6VZXRVRGXPWPKE2COK \
  | 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: fb06799fe5f57378d626bbecf5134272ab9c01a580fb72c3c505988055909e62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dbf4b0a8adf7b4ccd94e032d1e69c3362b570c780d985a5a0b225ff4f27b4cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-02-28T15:23:14Z",
    "title_canon_sha256": "2df1a34962a125c1ce6d98fa7be58a4e64aa3643949a90ced3d089b3888eeb7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.10475",
    "kind": "arxiv",
    "version": 1
  }
}