Pith Number

pith:OQFP4KJX

pith:2010:OQFP4KJXKQL4YODQZREBZBJGYE

not attested not anchored not stored refs pending

Finite dimensional reduction and convergence to equilibrium for incompressible Smectic-A liquid crystal flows

Antonio Segatti, Hao Wu

arxiv:1011.0358 v1 · 2010-11-01 · 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{OQFP4KJXKQL4YODQZREBZBJGYE}

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	2026-05-18T04:02:00.969689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

740afe29375417cc3870cc481c8526c1360e73afe30568e0b2e20d8a9408c432

Aliases

arxiv: 1011.0358 · arxiv_version: 1011.0358v1 · doi: 10.48550/arxiv.1011.0358 · pith_short_12: OQFP4KJXKQL4 · pith_short_16: OQFP4KJXKQL4YODQ · pith_short_8: OQFP4KJX

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/OQFP4KJXKQL4YODQZREBZBJGYE \
  | 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: 740afe29375417cc3870cc481c8526c1360e73afe30568e0b2e20d8a9408c432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d709934bf28656d0ef367b5f3e7e79e283302161312b2e5c5c8aa950c5ed9450",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-01T15:51:45Z",
    "title_canon_sha256": "82da6abfd4fba314bec1bffc28bbc6bd09b4e51238a6d466038a7ac07e6a17ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0358",
    "kind": "arxiv",
    "version": 1
  }
}