Pith Number

pith:KCRV7WTI

pith:2013:KCRV7WTIBMRJ2K5A5VCTGXW33M

not attested not anchored not stored refs pending

Global well-posedness of NLS with a rough potential below the energy norm

Younghun Hong

arxiv:1301.0428 v1 · 2013-01-03 · 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{KCRV7WTIBMRJ2K5A5VCTGXW33M}

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	2026-05-18T03:37:19.670264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50a35fda680b229d2ba0ed45335edbdb116122537fd6cda7005681518e968721

Aliases

arxiv: 1301.0428 · arxiv_version: 1301.0428v1 · doi: 10.48550/arxiv.1301.0428 · pith_short_12: KCRV7WTIBMRJ · pith_short_16: KCRV7WTIBMRJ2K5A · pith_short_8: KCRV7WTI

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/KCRV7WTIBMRJ2K5A5VCTGXW33M \
  | 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: 50a35fda680b229d2ba0ed45335edbdb116122537fd6cda7005681518e968721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "707fafd8fac5ffd61396d2934106c8e46b57ae6dcd12f2cc50356dd4321fd57d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-03T11:49:15Z",
    "title_canon_sha256": "63873141dc749470401fd6c6b136a6498e511972d9e10c8356cc202b887a96de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0428",
    "kind": "arxiv",
    "version": 1
  }
}