Pith Number

pith:4QOU24RE

pith:2018:4QOU24REBMT4OLB6BBTGE4CCNH

not attested not anchored not stored refs pending

A Morawetz inequality for water waves

Daniel Tataru, Mihaela Ifrim, Thomas Alazard

arxiv:1806.08443 v1 · 2018-06-21 · 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{4QOU24REBMT4OLB6BBTGE4CCNH}

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	2026-05-18T00:12:37.298453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e41d4d72240b27c72c3e086662704269fe18180f91f17605187135ebb0055d91

Aliases

arxiv: 1806.08443 · arxiv_version: 1806.08443v1 · doi: 10.48550/arxiv.1806.08443 · pith_short_12: 4QOU24REBMT4 · pith_short_16: 4QOU24REBMT4OLB6 · pith_short_8: 4QOU24RE

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/4QOU24REBMT4OLB6BBTGE4CCNH \
  | 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: e41d4d72240b27c72c3e086662704269fe18180f91f17605187135ebb0055d91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d8bc159b86cd3e01b43e2d0913e0d237bf7bf509fdc192a1be1139c36c11483",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-21T22:44:28Z",
    "title_canon_sha256": "caafd208097e9072a6453acd94199215194acc1b900c0bfcf6578fa98c943b65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08443",
    "kind": "arxiv",
    "version": 1
  }
}