Pith Number

pith:ZO6QMS7V

pith:2009:ZO6QMS7VMI7FN5GR7RKIBTGABZ

not attested not anchored not stored refs pending

Long-time Behavior for Nonlinear Hydrodynamic System Modeling the Nematic Liquid Crystal Flows

Hao Wu

arxiv:0904.0390 v1 · 2009-04-02 · 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{ZO6QMS7VMI7FN5GR7RKIBTGABZ}

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	2026-05-18T04:37:20.878985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbbd064bf5623e56f4d1fc5480ccc00e7b58577fbbe2b1f59ae2bfabd001c9a4

Aliases

arxiv: 0904.0390 · arxiv_version: 0904.0390v1 · doi: 10.48550/arxiv.0904.0390 · pith_short_12: ZO6QMS7VMI7F · pith_short_16: ZO6QMS7VMI7FN5GR · pith_short_8: ZO6QMS7V

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/ZO6QMS7VMI7FN5GR7RKIBTGABZ \
  | 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: cbbd064bf5623e56f4d1fc5480ccc00e7b58577fbbe2b1f59ae2bfabd001c9a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f64e256c1de27012ca0ffb7779f85c3a2b88b428c3f4949f5b80aff26fafe13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-04-02T13:46:07Z",
    "title_canon_sha256": "d2e17b9e2cc2a2677045a3f9a127a3e7dcb0e6e5cd83d333066cf6af83c9f3dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0390",
    "kind": "arxiv",
    "version": 1
  }
}