Pith Number

pith:OG6LW3KP

pith:2025:OG6LW3KPNVT3SRKKXJRMNXIGKE

not attested not anchored not stored refs pending

Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds

Yongming Luo

arxiv:2506.00442 v2 · 2025-05-31 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OG6LW3KPNVT3SRKKXJRMNXIGKE}

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.

Cited by

2 papers in Pith

Sharp mass-threshold for Dancer-type solutions of the focusing mass-critical NLS on $\Bbb R^d\times\Bbb T$

On Dancer-type solutions for the Lane--Emden equation via semivirial-vanishing geometry

Receipt and verification

First computed	2026-07-05T11:56:57.781245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71bcbb6d4f6d67b9454aba62c6dd06510c2c8e0b9695d083bfc50ac5f710c3a4

Aliases

arxiv: 2506.00442 · arxiv_version: 2506.00442v2 · doi: 10.48550/arxiv.2506.00442 · pith_short_12: OG6LW3KPNVT3 · pith_short_16: OG6LW3KPNVT3SRKK · pith_short_8: OG6LW3KP

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/OG6LW3KPNVT3SRKKXJRMNXIGKE \
  | 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: 71bcbb6d4f6d67b9454aba62c6dd06510c2c8e0b9695d083bfc50ac5f710c3a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cdf4df80483266c1363cdd99cabd3c16250ea5f1ee9c2577981fe22152cf707",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-31T07:49:29Z",
    "title_canon_sha256": "ebe4e88eabee91ee205863c4c9797b6eacd739751598ed91c997ed998db6b8a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00442",
    "kind": "arxiv",
    "version": 2
  }
}