Pith Number

pith:MOE34XKT

pith:2025:MOE34XKTFWIA262KD5N6R5BHUZ

not attested not anchored not stored refs pending

Symmetry and uniqueness of the positive solution for the critical Hartree equation on the Heisenberg group

Jialin Wang, Jijie Xu, Shuijin Zhang, Xiang Li, Yu Zheng

arxiv:2511.20264 v4 · 2025-11-25 · math.AP

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\usepackage{pith}
\pithnumber{MOE34XKTFWIA262KD5N6R5BHUZ}

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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

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group

Receipt and verification

First computed	2026-08-19T00:26:16.821997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6389be5d532d900d7b4a1f5be8f427a649fea0301574b6a8d759fd7c4dfb49f3

Aliases

arxiv: 2511.20264 · arxiv_version: 2511.20264v4 · doi: 10.48550/arxiv.2511.20264 · pith_short_12: MOE34XKTFWIA · pith_short_16: MOE34XKTFWIA262K · pith_short_8: MOE34XKT

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/MOE34XKTFWIA262KD5N6R5BHUZ \
  | 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: 6389be5d532d900d7b4a1f5be8f427a649fea0301574b6a8d759fd7c4dfb49f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ece561f4545cb61e8b75430bf8164fbb220bc44537346f9dde990dab93b6304e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-11-25T12:49:28Z",
    "title_canon_sha256": "f81b76d31623558935e1bf59415effcd15df731f1a19ec21590cf9fb5804d2aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.20264",
    "kind": "arxiv",
    "version": 4
  }
}