Pith Number

pith:RZ2DOOQW

pith:2026:RZ2DOOQWFBDWL4WBAMKHG7KR32

not attested not anchored not stored refs pending

Noise-driven pseudovorticity multipoles in self-focusing beams with quintic saturation

Chengbo Zhang, Xiaohui Gao

arxiv:2608.06045 v1 · 2026-08-06 · 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{RZ2DOOQWFBDWL4WBAMKHG7KR32}

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	2026-08-07T01:39:35.151937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e74373a16284765f2c10314737d51de9bc02f76d3f2cfcc7c9c1936f14860a1

Aliases

arxiv: 2608.06045 · arxiv_version: 2608.06045v1 · doi: 10.48550/arxiv.2608.06045 · pith_short_12: RZ2DOOQWFBDW · pith_short_16: RZ2DOOQWFBDWL4WB · pith_short_8: RZ2DOOQW

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/RZ2DOOQWFBDWL4WBAMKHG7KR32 \
  | 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: 8e74373a16284765f2c10314737d51de9bc02f76d3f2cfcc7c9c1936f14860a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28efd11b43f1095879ff1ef8561a9177d56e507cb553513d2f762514673ee192",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-08-06T13:56:16Z",
    "title_canon_sha256": "2195e24d43d5fb98b7e722877c80921df445a66efe2820bda7419f8dc029e0cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06045",
    "kind": "arxiv",
    "version": 1
  }
}