Pith Number

pith:JEILEN2Y

pith:2019:JEILEN2YZKGQ2RT5QF4XH3NNFV

not attested not anchored not stored refs pending

Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential

D. Mukherjee, P.T. Nam, P.T. Nguyen

arxiv:1907.06964 v1 · 2019-07-16 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JEILEN2YZKGQ2RT5QF4XH3NNFV}

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	2026-05-17T23:40:22.934225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4910b23758ca8d0d467d817973edad2d4f91c02f231d6bcc6323111f4af3b178

Aliases

arxiv: 1907.06964 · arxiv_version: 1907.06964v1 · doi: 10.48550/arxiv.1907.06964 · pith_short_12: JEILEN2YZKGQ · pith_short_16: JEILEN2YZKGQ2RT5 · pith_short_8: JEILEN2Y

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/JEILEN2YZKGQ2RT5QF4XH3NNFV \
  | 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: 4910b23758ca8d0d467d817973edad2d4f91c02f231d6bcc6323111f4af3b178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5946af907ffa0a9ccd9e4f42e217ab4bc971c6e2abf61e7cb0bf04fa91893e22",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-16T12:43:57Z",
    "title_canon_sha256": "bc98c64da1c0c8a7e4a98b3e7cc1ad7c7fc9660491a2f9e4d611cf63c3580af1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06964",
    "kind": "arxiv",
    "version": 1
  }
}