Pith Number

pith:4STEETNQ

pith:2018:4STEETNQLQQQSVYAAPP5FCVAGH

not attested not anchored not stored refs pending

Limit Behavior of Mass Critical Hartree Minimization Problems with Steep Potential Wells

Yong Luo, Yujin Guo, Zhi-qiang Wang

arxiv:1803.09936 v1 · 2018-03-27 · math.FA · 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{4STEETNQLQQQSVYAAPP5FCVAGH}

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	2026-05-17T23:48:40.633556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4a6424db05c2109570003dfd28aa031d52b070b3df2049b40772c623219dc32

Aliases

arxiv: 1803.09936 · arxiv_version: 1803.09936v1 · doi: 10.48550/arxiv.1803.09936 · pith_short_12: 4STEETNQLQQQ · pith_short_16: 4STEETNQLQQQSVYA · pith_short_8: 4STEETNQ

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/4STEETNQLQQQSVYAAPP5FCVAGH \
  | 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: e4a6424db05c2109570003dfd28aa031d52b070b3df2049b40772c623219dc32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c3588c54bed0ea357f6b4b35da9fc69f9fe3320d368bc503134f2279bf2ced6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-27T07:37:27Z",
    "title_canon_sha256": "97fe5bea41d5651b5e132afb38f33992f6cfe6be61507b3e620a04fd10db46a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09936",
    "kind": "arxiv",
    "version": 1
  }
}