Pith Number

pith:PRRDW7II

pith:2018:PRRDW7II6W42FZ4FRPIVPWB4O4

not attested not anchored not stored refs pending

Subcritical approximations to stochastic defocusing mass-critical nonlinear Schr\"odinger equation on $\mathbb{R}$

Chenjie Fan, Weijun Xu

arxiv:1810.09407 v1 · 2018-10-22 · 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{PRRDW7II6W42FZ4FRPIVPWB4O4}

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	2026-05-18T00:02:40.174887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c623b7d08f5b9a2e7858bd157d83c7704be821760b66636a87d849e30d82025

Aliases

arxiv: 1810.09407 · arxiv_version: 1810.09407v1 · doi: 10.48550/arxiv.1810.09407 · pith_short_12: PRRDW7II6W42 · pith_short_16: PRRDW7II6W42FZ4F · pith_short_8: PRRDW7II

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/PRRDW7II6W42FZ4FRPIVPWB4O4 \
  | 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: 7c623b7d08f5b9a2e7858bd157d83c7704be821760b66636a87d849e30d82025

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3d0b237ba96fa612b3ae561351944b04deada74919654dfce00a770dbf4e749",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-22T17:12:25Z",
    "title_canon_sha256": "e252fc54f22ffd83d094752ce7ebe411fd61417a999d6b16460519d9173a76ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09407",
    "kind": "arxiv",
    "version": 1
  }
}