Pith Number

pith:5ZU7GIOY

pith:2025:5ZU7GIOY6AFJP47PWINYNI7UYM

not attested not anchored not stored refs pending

Absence of embedded spectrum for nonlinear Schr\"odinger equations linearized around one dimensional ground states

Charles Collot, Eliot Pacherie, Pierre Germain

arxiv:2503.02957 v2 · 2025-03-04 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZU7GIOY6AFJP47PWINYNI7UYM}

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

1 paper in Pith

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum

Receipt and verification

First computed	2026-07-05T11:27:24.758036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee69f321d8f00a97f3efb21b86a3f4c307b17dc2ce686f8122aa9542dd55563a

Aliases

arxiv: 2503.02957 · arxiv_version: 2503.02957v2 · doi: 10.48550/arxiv.2503.02957 · pith_short_12: 5ZU7GIOY6AFJ · pith_short_16: 5ZU7GIOY6AFJP47P · pith_short_8: 5ZU7GIOY

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/5ZU7GIOY6AFJP47PWINYNI7UYM \
  | 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: ee69f321d8f00a97f3efb21b86a3f4c307b17dc2ce686f8122aa9542dd55563a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce5392668f92f2232f10fe21ce74259675357d30c91fe420f22c6a53ac89008e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-03-04T19:30:12Z",
    "title_canon_sha256": "baaf596580aaac6627214323b51a018022d50dcc20da4d81d761ad3588a8a0d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.02957",
    "kind": "arxiv",
    "version": 2
  }
}