Pith Number

pith:MLL34WRM

pith:2019:MLL34WRM7L2SBHGSHNNMCRQPZK

not attested not anchored not stored refs pending

Global Solution and Blow-up of the Stochastic Nonlinear Schr\"{o}dinger system

Jinqiao Duan, Qi Zhang, Yong Chen

arxiv:1912.01488 v2 · 2019-12-03 · 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{MLL34WRM7L2SBHGSHNNMCRQPZK}

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	2026-07-05T00:25:29.451285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62d7be5a2cfaf5209cd23b5ac1460fca932305438be65c5c3ae04e1722388f03

Aliases

arxiv: 1912.01488 · arxiv_version: 1912.01488v2 · doi: 10.48550/arxiv.1912.01488 · pith_short_12: MLL34WRM7L2S · pith_short_16: MLL34WRM7L2SBHGS · pith_short_8: MLL34WRM

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/MLL34WRM7L2SBHGSHNNMCRQPZK \
  | 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: 62d7be5a2cfaf5209cd23b5ac1460fca932305438be65c5c3ae04e1722388f03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a21a9b88cc8b52c6426125fd433a8c09cc8b6514dd2d8a03a183cedf795fdb5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-12-03T16:02:03Z",
    "title_canon_sha256": "9405cfbb332562b589bc582aa3a2b906fbaf73a84e3f8b209dac0796c9e77ca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.01488",
    "kind": "arxiv",
    "version": 2
  }
}