Pith Number

pith:T2OR4FJR

pith:2025:T2OR4FJR2FR2XLI2EA742V65DW

not attested not anchored not stored refs pending

Vortex solitons in quasi-phase-matched photonic crystals with the third harmonic generation

Bin Liu, Boris A. Malomed, Hexiang He, Li Zhang, Qiuyi Ning, Xuening Wang, Yongyao Li, Yuxin Guo

arxiv:2507.00818 v1 · 2025-07-01 · physics.optics · nlin.PS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2OR4FJR2FR2XLI2EA742V65DW}

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	2026-07-05T11:30:15.007170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9d1e1531d163abad1a203fcd57dd1d812b2ec5d6a116be81bec3bfc1e480fd

Aliases

arxiv: 2507.00818 · arxiv_version: 2507.00818v1 · doi: 10.48550/arxiv.2507.00818 · pith_short_12: T2OR4FJR2FR2 · pith_short_16: T2OR4FJR2FR2XLI2 · pith_short_8: T2OR4FJR

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/T2OR4FJR2FR2XLI2EA742V65DW \
  | 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: 9e9d1e1531d163abad1a203fcd57dd1d812b2ec5d6a116be81bec3bfc1e480fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "596e08c913cfae347a7974a47021d69a64be172c9eaf439fe3342999aacdfb73",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-07-01T14:49:44Z",
    "title_canon_sha256": "9c1ae5fe8ec579bc67911585dc5fc9f3fb51295e515311ace9dc6f0cee980d00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00818",
    "kind": "arxiv",
    "version": 1
  }
}