Pith Number

pith:MJI2SZHC

pith:2019:MJI2SZHCBNV2KHSN47WQKA72V4

not attested not anchored not stored refs pending

Abruptly Focusing and Defocusing Needles of Light and Closed-Form Electromagnetic Wavepackets

Ido Kaminer, Liang Jie Wong

arxiv:1903.00826 v1 · 2019-03-03 · 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{MJI2SZHCBNV2KHSN47WQKA72V4}

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	2026-05-17T23:52:13.140751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6251a964e20b6ba51e4de7ed0503faaf17376405a6e0676d67b8484dc9ff2ce8

Aliases

arxiv: 1903.00826 · arxiv_version: 1903.00826v1 · doi: 10.48550/arxiv.1903.00826 · pith_short_12: MJI2SZHCBNV2 · pith_short_16: MJI2SZHCBNV2KHSN · pith_short_8: MJI2SZHC

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/MJI2SZHCBNV2KHSN47WQKA72V4 \
  | 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: 6251a964e20b6ba51e4de7ed0503faaf17376405a6e0676d67b8484dc9ff2ce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4f67d48da18f826ed039b215249dccefec6a19a015c6d9babb5413238e23f4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-03-03T04:19:15Z",
    "title_canon_sha256": "7ba16cba46a59771013b026a4d36a0459c612cbfd74cde35775c5094550a64ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00826",
    "kind": "arxiv",
    "version": 1
  }
}