Pith Number

pith:Q4JPR2US

pith:2018:Q4JPR2USPGAQGQ42FQAPVHEE3K

not attested not anchored not stored refs pending

Almost sure well-posedness for the cubic nonlinear Schr\"{o}dinger equation in the super-critical regime on $\TTT^d$, $d\geq 3$

Haitian Yue

arxiv:1808.00657 v1 · 2018-08-02 · math.AP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4JPR2USPGAQGQ42FQAPVHEE3K}

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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	2026-05-18T00:09:04.604107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8712f8ea92798103439a2c00fa9c84daa2fe47c052d57a6a78eb8f1effedeb75

Aliases

arxiv: 1808.00657 · arxiv_version: 1808.00657v1 · doi: 10.48550/arxiv.1808.00657 · pith_short_12: Q4JPR2USPGAQ · pith_short_16: Q4JPR2USPGAQGQ42 · pith_short_8: Q4JPR2US

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/Q4JPR2USPGAQGQ42FQAPVHEE3K \
  | 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: 8712f8ea92798103439a2c00fa9c84daa2fe47c052d57a6a78eb8f1effedeb75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e07db1e74327b78625b44eb2dfce4c7d36e742681e6b9277eea0a551ee7a87f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-02T03:49:59Z",
    "title_canon_sha256": "d07d50b008c29c4488d25999bf16037efc4049db76db79c9f3910afb0f364f3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00657",
    "kind": "arxiv",
    "version": 1
  }
}