Pith Number

pith:DWL5MNCF

pith:2016:DWL5MNCFU5LGWSMWIJGL6SLKUR

not attested not anchored not stored refs pending

Existence, nonexistence, symmetry and uniqueness of ground state for critical Schr\"odinger system involving Hardy term

Senping Luo, Wenming Zou

arxiv:1608.01123 v1 · 2016-08-03 · 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{DWL5MNCFU5LGWSMWIJGL6SLKUR}

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.

Receipt and verification

First computed	2026-05-18T01:09:56.536120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d97d63445a7566b4996424cbf496aa44b3d03df23e567a38d1dd8bc33c7b76e

Aliases

arxiv: 1608.01123 · arxiv_version: 1608.01123v1 · doi: 10.48550/arxiv.1608.01123 · pith_short_12: DWL5MNCFU5LG · pith_short_16: DWL5MNCFU5LGWSMW · pith_short_8: DWL5MNCF

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/DWL5MNCFU5LGWSMWIJGL6SLKUR \
  | 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: 1d97d63445a7566b4996424cbf496aa44b3d03df23e567a38d1dd8bc33c7b76e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05558b5326f073c3e09eb413c44683b24a871104f8a95822c4effc7f2ef0d362",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-03T09:10:21Z",
    "title_canon_sha256": "0b3f8c8009567580e69324f6bd026d45920edd2ac8ac3ce69bc052d38bc61f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01123",
    "kind": "arxiv",
    "version": 1
  }
}