Pith Number

pith:O65DH3EG

pith:2010:O65DH3EGGICQI24IPPQ6PGEECP

not attested not anchored not stored refs pending

Strichartz estimates for partially periodic solutions to Schr\"odinger equations in 4d and applications

Daniel Tataru, Nikolay Tzvetkov, Sebastian Herr

arxiv:1011.0591 v1 · 2010-11-02 · 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{O65DH3EGGICQI24IPPQ6PGEECP}

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	2026-05-18T02:52:48.028175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77ba33ec863205046b887be1e7988413c3767f2750ce2cd1f26b3ae5a52bc6db

Aliases

arxiv: 1011.0591 · arxiv_version: 1011.0591v1 · doi: 10.48550/arxiv.1011.0591 · pith_short_12: O65DH3EGGICQ · pith_short_16: O65DH3EGGICQI24I · pith_short_8: O65DH3EG

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/O65DH3EGGICQI24IPPQ6PGEECP \
  | 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: 77ba33ec863205046b887be1e7988413c3767f2750ce2cd1f26b3ae5a52bc6db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b4787129e189951a566c7108e49d82b3ec3c9b063eda2c0f40035ccea042c9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-02T12:10:54Z",
    "title_canon_sha256": "147cd669640b729321310cbdb6716dc502172b83577ed1763d779cdb6bd8ec56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0591",
    "kind": "arxiv",
    "version": 1
  }
}