Pith Number

pith:FY5N3OUJ

pith:2019:FY5N3OUJYDRPHCQ3HBCOSQT3VX

not attested not anchored not stored refs pending

Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals

Arghir Zarnescu, Luc Nguyen, Radu Ignat, Valeriy Slastikov

arxiv:1908.00033 v1 · 2019-07-31 · 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{FY5N3OUJYDRPHCQ3HBCOSQT3VX}

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	2026-07-05T01:12:21.766863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e3addba89c0e2f38a1b3844e9427bade8900845e019218ed7855cc2be8bc680

Aliases

arxiv: 1908.00033 · arxiv_version: 1908.00033v1 · doi: 10.48550/arxiv.1908.00033 · pith_short_12: FY5N3OUJYDRP · pith_short_16: FY5N3OUJYDRPHCQ3 · pith_short_8: FY5N3OUJ

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/FY5N3OUJYDRPHCQ3HBCOSQT3VX \
  | 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: 2e3addba89c0e2f38a1b3844e9427bade8900845e019218ed7855cc2be8bc680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8804b3e38454457fd4610cfe850b5715fed0e6891c5c04abe47582e0040477a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-31T18:20:09Z",
    "title_canon_sha256": "6bae1fdc9a5be05f8a55382aff3e0a6c96644283bc62fabda457ffcf82b2b2d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00033",
    "kind": "arxiv",
    "version": 1
  }
}