Pith Number

pith:XHTJ35OB

pith:2016:XHTJ35OBTOHCOONKSZHFBGQHRE

not attested not anchored not stored refs pending

Nonparaxial abruptly autofocusing beams

Konstantinos G. Makris, Nikolaos K. Efremidis, Raluca-Sorina Penciu

arxiv:1602.01602 v1 · 2016-02-04 · 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{XHTJ35OBTOHCOONKSZHFBGQHRE}

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	2026-05-18T01:16:42.724796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9e69df5c19b8e2739aa964e509a07892e6e9f6926c716c8398748d5a9ccbf04

Aliases

arxiv: 1602.01602 · arxiv_version: 1602.01602v1 · doi: 10.48550/arxiv.1602.01602 · pith_short_12: XHTJ35OBTOHC · pith_short_16: XHTJ35OBTOHCOONK · pith_short_8: XHTJ35OB

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/XHTJ35OBTOHCOONKSZHFBGQHRE \
  | 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: b9e69df5c19b8e2739aa964e509a07892e6e9f6926c716c8398748d5a9ccbf04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c3d4b1ab814e00cc956da4a60aebbc199b55efa0796003f9d3dd27e32625309",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-02-04T09:27:11Z",
    "title_canon_sha256": "2110536da04246eb897f0188284563d55c50851f240fe5a4ac99112c1f3aac50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01602",
    "kind": "arxiv",
    "version": 1
  }
}