Pith Number

pith:N3IBPSQT

pith:2010:N3IBPSQTMGIFHHH6CBUWPYQGID

not attested not anchored not stored refs pending

Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schr\"odinger and wave equation

Yuzhao Wang, Zihua Guo

arxiv:1007.4299 v3 · 2010-07-25 · math.AP · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3IBPSQTMGIFHHH6CBUWPYQGID}

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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	2026-05-18T04:23:11.586173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ed017ca136190539cfe106967e20640c784f81d111ed9dbf26ebaa8bb50b3a4

Aliases

arxiv: 1007.4299 · arxiv_version: 1007.4299v3 · doi: 10.48550/arxiv.1007.4299 · pith_short_12: N3IBPSQTMGIF · pith_short_16: N3IBPSQTMGIFHHH6 · pith_short_8: N3IBPSQT

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/N3IBPSQTMGIFHHH6CBUWPYQGID \
  | 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: 6ed017ca136190539cfe106967e20640c784f81d111ed9dbf26ebaa8bb50b3a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ad1a0e8bd2a426c351e26b4747fca386591a2b2018f1bb677304541ef4abeba",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-07-25T04:11:25Z",
    "title_canon_sha256": "cd6369cbc80bacee6832e5fd9f54913cf0eae58193b3736854d7796fb48fca99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4299",
    "kind": "arxiv",
    "version": 3
  }
}