Pith Number

pith:BKQXPY62

pith:2018:BKQXPY62Y4OZQW6CJMW3ONIF46

not attested not anchored not stored refs pending

Global well-posedness for the mass-critical stochastic nonlinear Schr\"odinger equation on $\mathbb{R}$: general $L^2$ data

Chenjie Fan, Weijun Xu

arxiv:1807.04402 v1 · 2018-07-12 · 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{BKQXPY62Y4OZQW6CJMW3ONIF46}

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	2026-05-18T00:10:53.622460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa177e3dac71d985bc24b2db73505e79f6a8aa690ed99b1292fc83210537fb4

Aliases

arxiv: 1807.04402 · arxiv_version: 1807.04402v1 · doi: 10.48550/arxiv.1807.04402 · pith_short_12: BKQXPY62Y4OZ · pith_short_16: BKQXPY62Y4OZQW6C · pith_short_8: BKQXPY62

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/BKQXPY62Y4OZQW6CJMW3ONIF46 \
  | 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: 0aa177e3dac71d985bc24b2db73505e79f6a8aa690ed99b1292fc83210537fb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed67a49c79a64a6ad3b6b607696a95e9f49e16a78b65a47d3f5029f1cba21bd8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-12T02:21:06Z",
    "title_canon_sha256": "56e18b139d709bc814fd5089b744d464937eb2e3f0f9f35672ae1bfd1ef79946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04402",
    "kind": "arxiv",
    "version": 1
  }
}