Pith Number

pith:JX6J5O5H

pith:2026:JX6J5O5HI4HAMSC6ZDYREIOYOT

not attested not anchored not stored refs pending

Almost sure local well-posedness for the nonlinear Schr\"odinger equations on $\Bbb T^d$ with non-algebraic nonlinearity

Yongming Luo

arxiv:2608.04643 v1 · 2026-08-05 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JX6J5O5HI4HAMSC6ZDYREIOYOT}

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	2026-08-06T01:36:27.683217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dfc9ebba7470e06485ec8f11221d874fe3cd2d08aa1a4297d6874e464dff70a

Aliases

arxiv: 2608.04643 · arxiv_version: 2608.04643v1 · doi: 10.48550/arxiv.2608.04643 · pith_short_12: JX6J5O5HI4HA · pith_short_16: JX6J5O5HI4HAMSC6 · pith_short_8: JX6J5O5H

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/JX6J5O5HI4HAMSC6ZDYREIOYOT \
  | 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: 4dfc9ebba7470e06485ec8f11221d874fe3cd2d08aa1a4297d6874e464dff70a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c7b275d1dd8d3463b192b7dbc53f9b566f3d33fe78f0e14a3580e9cda0f70ee",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-05T10:01:32Z",
    "title_canon_sha256": "5b86e91c7a57e49379941d9d8bb6860dfa53a6fdb75891d3f94658e01800636b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04643",
    "kind": "arxiv",
    "version": 1
  }
}