Pith Number

pith:ORNIBGKB

pith:2019:ORNIBGKBPBLJGHQ4NXY6DAK7VQ

not attested not anchored not stored refs pending

Global well-posedness of stochastic nematic liquid crystals with random initial and random boundary conditions driven by multiplicative noise

Guoli Zhou, Jiang-Lun Wu, Lidan Wang

arxiv:1906.11472 v1 · 2019-06-27 · 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{ORNIBGKBPBLJGHQ4NXY6DAK7VQ}

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	2026-05-17T23:42:04.768245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

745a8099417856931e1c6df1e1815fac11d16289f8c7770966dcb9b172dd1177

Aliases

arxiv: 1906.11472 · arxiv_version: 1906.11472v1 · doi: 10.48550/arxiv.1906.11472 · pith_short_12: ORNIBGKBPBLJ · pith_short_16: ORNIBGKBPBLJGHQ4 · pith_short_8: ORNIBGKB

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/ORNIBGKBPBLJGHQ4NXY6DAK7VQ \
  | 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: 745a8099417856931e1c6df1e1815fac11d16289f8c7770966dcb9b172dd1177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d6bb4a3dbe239b8b05dd98c3b25c4d5fc3f0051742859749ee7a693878b09ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-27T07:37:49Z",
    "title_canon_sha256": "93312b29643ab821cd16ed2ee395bb23b4ece22ecc5a3faaf7e845c5bd65eaa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11472",
    "kind": "arxiv",
    "version": 1
  }
}