Pith Number

pith:BSNC4YK3

pith:2018:BSNC4YK3RJGI34ZI7U222CDRRH

not attested not anchored not stored refs pending

Mass Concentration and Local Uniqueness of Ground States for $L^2$-subcritical Nonlinear Schr\"{o}dinger Equations

Shuai Li, Xincai Zhu

arxiv:1803.10395 v2 · 2018-03-28 · 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{BSNC4YK3RJGI34ZI7U222CDRRH}

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	2026-05-18T00:12:03.797929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c9a2e615b8a4c8df328fd35ad087189d2b6ecd23c83ddf0b1f1559d79dd38e6

Aliases

arxiv: 1803.10395 · arxiv_version: 1803.10395v2 · doi: 10.48550/arxiv.1803.10395 · pith_short_12: BSNC4YK3RJGI · pith_short_16: BSNC4YK3RJGI34ZI · pith_short_8: BSNC4YK3

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/BSNC4YK3RJGI34ZI7U222CDRRH \
  | 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: 0c9a2e615b8a4c8df328fd35ad087189d2b6ecd23c83ddf0b1f1559d79dd38e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1c6f6e28c9657ed654b84604d014a5b48a4019ad273ab37b7782968b43063ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-28T03:07:49Z",
    "title_canon_sha256": "febe8a9a8e45f45ce96a1d6703714b1bf21838c625aa0e64fe69be78b68c8d0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10395",
    "kind": "arxiv",
    "version": 2
  }
}