Pith Number

pith:PQV557JL

pith:2010:PQV557JLKZ5XB2O7IUNBCAOZF5

not attested not anchored not stored refs pending

Strichartz estimates and the nonlinear Schr\"odinger equation on manifolds with boundary

Christopher D. Sogge, Hart F. Smith, Matthew D. Blair

arxiv:1004.3976 v2 · 2010-04-22 · 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{PQV557JLKZ5XB2O7IUNBCAOZF5}

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	2026-05-18T04:05:47.710463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c2bdefd2b567b70e9df451a1101d92f55e5bbbfd13d5f32a0e0a76bb5187a9b

Aliases

arxiv: 1004.3976 · arxiv_version: 1004.3976v2 · doi: 10.48550/arxiv.1004.3976 · pith_short_12: PQV557JLKZ5X · pith_short_16: PQV557JLKZ5XB2O7 · pith_short_8: PQV557JL

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/PQV557JLKZ5XB2O7IUNBCAOZF5 \
  | 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: 7c2bdefd2b567b70e9df451a1101d92f55e5bbbfd13d5f32a0e0a76bb5187a9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85c9617f8656600499ab859ff26e04702f8245465c692896c93b97624641001b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-04-22T18:30:34Z",
    "title_canon_sha256": "95e4b0d9473c4ef8f419e2ed1baf57add9fe148c308b3848f6f9417510640e43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3976",
    "kind": "arxiv",
    "version": 2
  }
}