Pith Number

pith:FIXDZKXT

pith:2026:FIXDZKXTD4IOXBYKOQ3ST6ZEGY

not attested not anchored not stored refs pending

Smooth Convergence of Landau-de Gennes Minimizers in the Lyuksyutov Regime

Haotong Fu, Huaijie Wang, Wei Wang

arxiv:2608.08456 v1 · 2026-08-09 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIXDZKXTD4IOXBYKOQ3ST6ZEGY}

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	2026-08-11T01:22:40.824103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a2e3caaf31f10eb870a743729fb24362b0e8f8e850be0a2e643ad86d9535ecb

Aliases

arxiv: 2608.08456 · arxiv_version: 2608.08456v1 · doi: 10.48550/arxiv.2608.08456 · pith_short_12: FIXDZKXTD4IO · pith_short_16: FIXDZKXTD4IOXBYK · pith_short_8: FIXDZKXT

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/FIXDZKXTD4IOXBYKOQ3ST6ZEGY \
  | 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: 2a2e3caaf31f10eb870a743729fb24362b0e8f8e850be0a2e643ad86d9535ecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68f4bd64b169c76270cc2d87bf9d72ba333f3b13b2aa9fda1f7e763942b5e87b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-09T03:54:47Z",
    "title_canon_sha256": "18cf2af19f45b66f4c5e4f8c213ac2da222e520f12223a888d84fa75ccf14459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08456",
    "kind": "arxiv",
    "version": 1
  }
}