Pith Number

pith:F5UTZZJG

pith:2010:F5UTZZJG5REPL3AX3QZRUBL7TH

not attested not anchored not stored refs pending

Continuous Dependence of Cauchy Problem For Nonlinear Schr\"{o}dinger Equation in $H^{s}$

Daomin Cao, Wei Dai, Weihua Yang

arxiv:1009.2005 v4 · 2010-09-10 · 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{F5UTZZJG5REPL3AX3QZRUBL7TH}

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	2026-05-18T04:02:37.783372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f693ce526ec48f5ec17dc331a057f99d5c528909cb60ff5df1da4bc9d3b9a75

Aliases

arxiv: 1009.2005 · arxiv_version: 1009.2005v4 · doi: 10.48550/arxiv.1009.2005 · pith_short_12: F5UTZZJG5REP · pith_short_16: F5UTZZJG5REPL3AX · pith_short_8: F5UTZZJG

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/F5UTZZJG5REPL3AX3QZRUBL7TH \
  | 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: 2f693ce526ec48f5ec17dc331a057f99d5c528909cb60ff5df1da4bc9d3b9a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "722c8019df3f8000a2293665277d21af35e57886bf0f89dd3653acff132da44c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-10T13:00:46Z",
    "title_canon_sha256": "f1de2738112c92e693b6cad9a30464c090da7df38f67b70474c8ca5e9309330d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2005",
    "kind": "arxiv",
    "version": 4
  }
}