Pith Number

pith:Y23EB5VZ

pith:2011:Y23EB5VZVW4EBUE2UQTAQO55S4

not attested not anchored not stored refs pending

Long-time behavior for a hydrodynamic model on nematic liquid crystal flows with asymptotic stabilizing boundary condition and external force

Hao Wu, Maurizio Grasselli

arxiv:1111.1285 v3 · 2011-11-05 · 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{Y23EB5VZVW4EBUE2UQTAQO55S4}

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	2026-05-18T03:26:32.626394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b640f6b9adb840d09aa426083bbd9732c740df1699b7b213e83edeb29ab4d5

Aliases

arxiv: 1111.1285 · arxiv_version: 1111.1285v3 · doi: 10.48550/arxiv.1111.1285 · pith_short_12: Y23EB5VZVW4E · pith_short_16: Y23EB5VZVW4EBUE2 · pith_short_8: Y23EB5VZ

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/Y23EB5VZVW4EBUE2UQTAQO55S4 \
  | 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: c6b640f6b9adb840d09aa426083bbd9732c740df1699b7b213e83edeb29ab4d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c22bacf4ae06c41bf0913182c674d347e6097a2980405192ba3e40dd9fc844",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-05T07:13:21Z",
    "title_canon_sha256": "73abbe94af03ff08f1ed00de94a7c169c735cff8423f59789b0368e756607b6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1285",
    "kind": "arxiv",
    "version": 3
  }
}