Pith Number

pith:IF2S54ZH

pith:2023:IF2S54ZHDB44RD6MUUQ7HBVTB2

not attested not anchored not stored refs pending

Global well-posedness and scattering for the defocusing mass-critical Schr\"odinger equation in the three-dimensional hyperbolic space

Bobby Wilson, Xueying Yu

arxiv:2310.12277 v2 · 2023-10-15 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IF2S54ZHDB44RD6MUUQ7HBVTB2}

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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

2 papers in Pith

Geometric uncertainty principles for Schr\"odinger evolutions on negatively curved manifolds

Receipt and verification

First computed	2026-07-05T10:47:24.226687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41752ef3271879c88fcca521f386b30e8df4f764021bba3b68ed70928a9a130c

Aliases

arxiv: 2310.12277 · arxiv_version: 2310.12277v2 · doi: 10.48550/arxiv.2310.12277 · pith_short_12: IF2S54ZHDB44 · pith_short_16: IF2S54ZHDB44RD6M · pith_short_8: IF2S54ZH

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/IF2S54ZHDB44RD6MUUQ7HBVTB2 \
  | 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: 41752ef3271879c88fcca521f386b30e8df4f764021bba3b68ed70928a9a130c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efe676b6dfe9520b9fea0d14c628bbc0c2dc900ced6e75e307d4cabdcb3c852e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-10-15T19:41:47Z",
    "title_canon_sha256": "74a2f97ad4b25c3149b60352b43b3afb2359fcb6b4cc0543d16cea413123a28f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.12277",
    "kind": "arxiv",
    "version": 2
  }
}