Pith Number

pith:X6RRIVWU

pith:2013:X6RRIVWU3H2BLFR3RJJROE47K7

not attested not anchored not stored refs pending

Diffraction Interference Induced Superfocusing in Nonlinear Talbot Effect

Dongmei Liu, Dunzhao Wei, Gang Zhao, Jianming Wen, Min Xiao, S. N. Zhu, Xiaopeng Hu, Yong Zhang, Zhenhua Chen

arxiv:1304.2556 v2 · 2013-04-09 · 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{X6RRIVWU3H2BLFR3RJJROE47K7}

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	2026-05-18T02:43:16.583145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfa31456d4d9f415963b8a5317139f57c45e940ae84997d8a109b96676849dee

Aliases

arxiv: 1304.2556 · arxiv_version: 1304.2556v2 · doi: 10.48550/arxiv.1304.2556 · pith_short_12: X6RRIVWU3H2B · pith_short_16: X6RRIVWU3H2BLFR3 · pith_short_8: X6RRIVWU

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/X6RRIVWU3H2BLFR3RJJROE47K7 \
  | 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: bfa31456d4d9f415963b8a5317139f57c45e940ae84997d8a109b96676849dee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78db650633ff867c6c87d6d5943b415cdbd24515fb9bba880e588d1f0a1b6bc3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-04-09T12:38:58Z",
    "title_canon_sha256": "a6fdf89af032ab01625dc246c5faab9e721df47da62ef48a65e00115f8b36b5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2556",
    "kind": "arxiv",
    "version": 2
  }
}