Pith Number

pith:2GQAVCWW

pith:2018:2GQAVCWW27TIAP3QNYXY4NI23T

not attested not anchored not stored refs pending

Global well-posedness for the mass-critical stochastic nonlinear Schr\"{o}dinger equation on $\mathbb{R}$: small initial data

Chenjie Fan, Weijun Xu

arxiv:1803.03257 v2 · 2018-03-08 · math.PR · 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{2GQAVCWW27TIAP3QNYXY4NI23T}

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	2026-05-18T00:07:23.600521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a00a8ad6d7e6803f706e2f8e351adcdc483243703791826c64a5499ee83b11

Aliases

arxiv: 1803.03257 · arxiv_version: 1803.03257v2 · doi: 10.48550/arxiv.1803.03257 · pith_short_12: 2GQAVCWW27TI · pith_short_16: 2GQAVCWW27TIAP3Q · pith_short_8: 2GQAVCWW

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/2GQAVCWW27TIAP3QNYXY4NI23T \
  | 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: d1a00a8ad6d7e6803f706e2f8e351adcdc483243703791826c64a5499ee83b11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a27f0637a0b8229d7d9cd4a47cc688c5b48e54cb965341f431ad7c176f198e0a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-08T18:54:06Z",
    "title_canon_sha256": "7392b952e5b896e7ffaa78efcf8289f08f8285c953925a305081ca2a340115e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03257",
    "kind": "arxiv",
    "version": 2
  }
}