Pith Number

pith:2NPLSJJE

pith:2017:2NPLSJJE2HBGWHZ3ZUJ5HCMJ6R

not attested not anchored not stored refs pending

Existence and uniqueness of $W^{1,r}_{loc}$-solutions for stochastic transport equations

Guangying Lv, Hongjun Gao, Jinlong Wei, Jinqiao Duan

arxiv:1711.05067 v1 · 2017-11-14 · 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{2NPLSJJE2HBGWHZ3ZUJ5HCMJ6R}

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	2026-05-18T00:30:34.850967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d35eb92524d1c26b1f3bcd13d38989f450035de4cb08566968f7cb1609b43bb3

Aliases

arxiv: 1711.05067 · arxiv_version: 1711.05067v1 · doi: 10.48550/arxiv.1711.05067 · pith_short_12: 2NPLSJJE2HBG · pith_short_16: 2NPLSJJE2HBGWHZ3 · pith_short_8: 2NPLSJJE

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/2NPLSJJE2HBGWHZ3ZUJ5HCMJ6R \
  | 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: d35eb92524d1c26b1f3bcd13d38989f450035de4cb08566968f7cb1609b43bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11be91b160b7ae97870720db8824f63609c86653c5048d75628fee0a8e580cc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-14T12:00:40Z",
    "title_canon_sha256": "54d7d64fcbd8e9564cf98fa1ab678e7c734911e0c32d897482c0bd46eef874d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05067",
    "kind": "arxiv",
    "version": 1
  }
}