Pith Number

pith:CN5JZSLD

pith:2025:CN5JZSLDGTTHYZZAPDVRJ2RXZC

not attested not anchored not stored refs pending

On the Gross-Pitaevskii evolution linearized around the degree-one vortex

Jonas Luhrmann, Sohrab Shahshahani, Wilhelm Schlag

arxiv:2503.07345 v2 · 2025-03-10 · 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{CN5JZSLDGTTHYZZAPDVRJ2RXZC}

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

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices

Receipt and verification

First computed	2026-07-05T10:45:17.984010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

137a9cc96334e67c672078eb14ea37c8a838dc41ee2ce444c27c840ac5f6703c

Aliases

arxiv: 2503.07345 · arxiv_version: 2503.07345v2 · doi: 10.48550/arxiv.2503.07345 · pith_short_12: CN5JZSLDGTTH · pith_short_16: CN5JZSLDGTTHYZZA · pith_short_8: CN5JZSLD

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/CN5JZSLDGTTHYZZAPDVRJ2RXZC \
  | 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: 137a9cc96334e67c672078eb14ea37c8a838dc41ee2ce444c27c840ac5f6703c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e316e20a426e978135380a5f44874ad7c63d8e2b96a9c6ab38f6b0f754586b15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-03-10T13:59:35Z",
    "title_canon_sha256": "98a9c6e865e0e9cdfa4077e77e26fabe39c84a53c33ed2b0b0cedbb9753214b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.07345",
    "kind": "arxiv",
    "version": 2
  }
}