Pith Number

pith:5ZNSARQW

pith:2010:5ZNSARQW5SLUQV37K66F6QBO6B

not attested not anchored not stored refs pending

On the Global Existence and Blowup Phenomena of Schr\"{o}dinger Equations with Multiple Nonlinearities

Xianfa Song

arxiv:1009.0328 v1 · 2010-09-02 · 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{5ZNSARQW5SLUQV37K66F6QBO6B}

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	2026-05-18T04:41:26.910301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee5b204616ec9748577f57bc5f402ef05d3bad18488ba319888451578b6d37b7

Aliases

arxiv: 1009.0328 · arxiv_version: 1009.0328v1 · doi: 10.48550/arxiv.1009.0328 · pith_short_12: 5ZNSARQW5SLU · pith_short_16: 5ZNSARQW5SLUQV37 · pith_short_8: 5ZNSARQW

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/5ZNSARQW5SLUQV37K66F6QBO6B \
  | 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: ee5b204616ec9748577f57bc5f402ef05d3bad18488ba319888451578b6d37b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b4e6e8dde779c111640a28d95cb8a404e0f8ccb3d14d3db21dfa9f11a19416b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-02T04:26:13Z",
    "title_canon_sha256": "62c0a1603fa83bd3151650e23e219b1d3a5f5a4e52c6612bcb8ffdbbda2da393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0328",
    "kind": "arxiv",
    "version": 1
  }
}