Pith Number

pith:BL4QQUMU

pith:2025:BL4QQUMUAVRYOWFARRJMJH4A4V

not attested not anchored not stored refs pending

Structured Harmonic Generation via Geometric Phase Enabled Pump Shaping

Chun-Yu Li, Hui Liu, Peng Chen, Shi-Hui Ding, Ting-Ting Liu, Yan-qing Lu, Zhi-Han Zhu

arxiv:2506.17167 v1 · 2025-06-20 · 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{BL4QQUMUAVRYOWFARRJMJH4A4V}

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	2026-07-05T11:24:57.364611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0af908519405638758a08c52c49f80e551cb6be93ea17cb3dec0b75e19ec879f

Aliases

arxiv: 2506.17167 · arxiv_version: 2506.17167v1 · doi: 10.48550/arxiv.2506.17167 · pith_short_12: BL4QQUMUAVRY · pith_short_16: BL4QQUMUAVRYOWFA · pith_short_8: BL4QQUMU

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/BL4QQUMUAVRYOWFARRJMJH4A4V \
  | 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: 0af908519405638758a08c52c49f80e551cb6be93ea17cb3dec0b75e19ec879f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d17f98cc062917cc75399c838ee2767d8dc0a29456d7deab6602089c337230d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-06-20T17:12:12Z",
    "title_canon_sha256": "d318ee5977a3708efe71c211a57f0bf720536d04854adacbcbc0e9c62666bcd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17167",
    "kind": "arxiv",
    "version": 1
  }
}