Pith Number

pith:6LLOYJ5B

pith:2011:6LLOYJ5BNQVFATTCPNDVURVZFD

not attested not anchored not stored refs pending

Global Existence and Stability for a Hydrodynamic System in the Nematic Liquid Crystal Flows

Jihong Zhao, Qiao Liu, Shangbin Cui

arxiv:1104.4192 v1 · 2011-04-21 · 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{6LLOYJ5BNQVFATTCPNDVURVZFD}

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	2026-05-18T04:23:44.905794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2d6ec27a16c2a504e627b475a46b928d275096ccfe4f886f38fd4f4e5e7e97a

Aliases

arxiv: 1104.4192 · arxiv_version: 1104.4192v1 · doi: 10.48550/arxiv.1104.4192 · pith_short_12: 6LLOYJ5BNQVF · pith_short_16: 6LLOYJ5BNQVFATTC · pith_short_8: 6LLOYJ5B

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/6LLOYJ5BNQVFATTCPNDVURVZFD \
  | 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: f2d6ec27a16c2a504e627b475a46b928d275096ccfe4f886f38fd4f4e5e7e97a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6a8ba1ce1ce5d7d0d8c2c6e5de0d689dac13159ecd2d2a208754817abecafef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-21T07:28:57Z",
    "title_canon_sha256": "e8ab78a50265bc65cc5503ae490b643ddd7f5314970a956fad59b49057118286"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4192",
    "kind": "arxiv",
    "version": 1
  }
}