Pith Number

pith:7YL4P74Z

pith:2019:7YL4P74ZZVBQOL2GQ55Y7YBQ7U

not attested not anchored not stored refs pending

Randomization improved Strichartz estimates and global well-posedness for supercritical data

Joachim Krieger, Nicolas Burq

arxiv:1902.06987 v1 · 2019-02-19 · 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{7YL4P74ZZVBQOL2GQ55Y7YBQ7U}

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	2026-05-17T23:53:40.247444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe17c7ff99cd43072f46877b8fe030fd1c841fdc432b20b255124e20658e09d4

Aliases

arxiv: 1902.06987 · arxiv_version: 1902.06987v1 · doi: 10.48550/arxiv.1902.06987 · pith_short_12: 7YL4P74ZZVBQ · pith_short_16: 7YL4P74ZZVBQOL2G · pith_short_8: 7YL4P74Z

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/7YL4P74ZZVBQOL2GQ55Y7YBQ7U \
  | 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: fe17c7ff99cd43072f46877b8fe030fd1c841fdc432b20b255124e20658e09d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a0ee6d63d28510c97173dd2eaa1d3378e7acadf7c7f6f77910b460a54293865",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-19T10:52:25Z",
    "title_canon_sha256": "b75048cf08e05faaabf0a1203556722b4b77b0ab9db4d5f9db9e93827e5389b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06987",
    "kind": "arxiv",
    "version": 1
  }
}