Pith Number

pith:XA5DZYNP

pith:2009:XA5DZYNPHS332DPZWR73COXVOV

not attested not anchored not stored refs pending

Global well-posedness for Schr\"odinger equation with derivative in $H^{{1/2}}(\R)$

Changxing Miao, Guixiang Xu, Yifei Wu

arxiv:0912.4642 v2 · 2009-12-23 · 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{XA5DZYNPHS332DPZWR73COXVOV}

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	2026-05-18T04:16:32.303873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b83a3ce1af3cb7bd0df9b47fb13af5757b2afcf09d3492ef38896084043871a9

Aliases

arxiv: 0912.4642 · arxiv_version: 0912.4642v2 · doi: 10.48550/arxiv.0912.4642 · pith_short_12: XA5DZYNPHS33 · pith_short_16: XA5DZYNPHS332DPZ · pith_short_8: XA5DZYNP

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/XA5DZYNPHS332DPZWR73COXVOV \
  | 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: b83a3ce1af3cb7bd0df9b47fb13af5757b2afcf09d3492ef38896084043871a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d3de1ea93cb8e2272b02f5683e5fff0fb625ff93d37e8686c4195df8aa8e44b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-12-23T13:51:48Z",
    "title_canon_sha256": "003027d3c143ea7b35c45f136415c63e77dc0fbb1e335f841277ada0a587c7b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4642",
    "kind": "arxiv",
    "version": 2
  }
}