Pith Number

pith:J5UJMZ5W

pith:2008:J5UJMZ5W2C46HWUJH6KBWH77LJ

not attested not anchored not stored refs pending

A sharp inequality for the Strichartz norm

Emanuel Carneiro

arxiv:0809.4054 v1 · 2008-09-23 · 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{J5UJMZ5W2C46HWUJH6KBWH77LJ}

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	2026-05-18T04:20:50.119958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f689667b6d0b9e3da893f941b1fff5a43e97ab6dadb8a1fde9aef4f40ee5756

Aliases

arxiv: 0809.4054 · arxiv_version: 0809.4054v1 · doi: 10.48550/arxiv.0809.4054 · pith_short_12: J5UJMZ5W2C46 · pith_short_16: J5UJMZ5W2C46HWUJ · pith_short_8: J5UJMZ5W

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/J5UJMZ5W2C46HWUJH6KBWH77LJ \
  | 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: 4f689667b6d0b9e3da893f941b1fff5a43e97ab6dadb8a1fde9aef4f40ee5756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cf0dba782253eca1e48fd0cb94af9f83d5cbac5ae4ecd33d0feb57e077a53d7",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-09-23T23:46:14Z",
    "title_canon_sha256": "9bed867d298b20503c27a76a5d1ecddb4a238abd450881edb7fed3edcfb4e006"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4054",
    "kind": "arxiv",
    "version": 1
  }
}