Pith Number

pith:YZ4NSVRO

pith:2023:YZ4NSVRO3HD3WM22ZFYU6XV4RV

not attested not anchored not stored refs pending

Two Positive Normalized Solutions and Phase Separation for Coupled Schr\"odinger Equations on Bounded Domain with L2-Supercritical and Sobolev Critical or Subcritical Exponent

Linjie Song, Wenming Zou

arxiv:2311.16861 v1 · 2023-11-28 · 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{YZ4NSVRO3HD3WM22ZFYU6XV4RV}

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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

Multiple sign-changing and semi-nodal normalized solutions for a Gross-Pitaevskii type system on bounded domains: the $L^2$-supercritical case

Receipt and verification

First computed	2026-07-05T07:17:47.608493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c678d9562ed9c7bb335ac9714f5ebc8d638c87dfd5b9d91c8cae2e2eabf711d6

Aliases

arxiv: 2311.16861 · arxiv_version: 2311.16861v1 · doi: 10.48550/arxiv.2311.16861 · pith_short_12: YZ4NSVRO3HD3 · pith_short_16: YZ4NSVRO3HD3WM22 · pith_short_8: YZ4NSVRO

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/YZ4NSVRO3HD3WM22ZFYU6XV4RV \
  | 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: c678d9562ed9c7bb335ac9714f5ebc8d638c87dfd5b9d91c8cae2e2eabf711d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc225b766d7e0ab9fe755403226d101d84f3f0404d86a8d0389b855437de8968",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-11-28T15:07:35Z",
    "title_canon_sha256": "1f7b22a8f306a29b7076922b1b5d58b7433e52f3ad3788e770624163aa4dbcb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.16861",
    "kind": "arxiv",
    "version": 1
  }
}