Pith Number

pith:IRRIYGIL

pith:2026:IRRIYGILNCSM7EDC34PQKND4D4

not attested not anchored not stored refs pending

Global well-posedness of cubic fractional Schr\"{o}dinger equation with rough data

Jiajun Wang

arxiv:2606.11376 v1 · 2026-06-09 · 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{IRRIYGILNCSM7EDC34PQKND4D4}

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	2026-06-11T00:08:22.392410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44628c190b68a4cf9062df1f05347c1f165096c854d9bba27227b8a854303ff9

Aliases

arxiv: 2606.11376 · arxiv_version: 2606.11376v1 · doi: 10.48550/arxiv.2606.11376 · pith_short_12: IRRIYGILNCSM · pith_short_16: IRRIYGILNCSM7EDC · pith_short_8: IRRIYGIL

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/IRRIYGILNCSM7EDC34PQKND4D4 \
  | 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: 44628c190b68a4cf9062df1f05347c1f165096c854d9bba27227b8a854303ff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c94c4efc36b6a703890a9abe941d3caa52a283bb7adb7747455c5c3f3eaeeb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-09T19:00:24Z",
    "title_canon_sha256": "45cc61b54f09c8828df0cf4748ab95231ada86b80d117b02eb5148bfab1b41b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11376",
    "kind": "arxiv",
    "version": 1
  }
}