Pith Number

pith:PFRIXB5D

pith:2025:PFRIXB5DGOXWZQKANBI77LQWY4

not attested not anchored not stored refs pending

The $\mathcal{R}$-boundedness of solution operators for the $Q$-tensor model of nematic liquid crystals

Daniele Barbera, Miho Murata

arxiv:2506.05152 v1 · 2025-06-05 · 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{PFRIXB5DGOXWZQKANBI77LQWY4}

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	2026-07-05T11:16:43.216260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79628b87a333af6cc1406851ffae16c71e0c77e98bfc7a72b4b7f8463928fd1e

Aliases

arxiv: 2506.05152 · arxiv_version: 2506.05152v1 · doi: 10.48550/arxiv.2506.05152 · pith_short_12: PFRIXB5DGOXW · pith_short_16: PFRIXB5DGOXWZQKA · pith_short_8: PFRIXB5D

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/PFRIXB5DGOXWZQKANBI77LQWY4 \
  | 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: 79628b87a333af6cc1406851ffae16c71e0c77e98bfc7a72b4b7f8463928fd1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "675d785c38470eab48787ab3e0c22f52791ce2792abf2334b6cf57c50281cbda",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-05T15:31:51Z",
    "title_canon_sha256": "b8d71952e2dc12b1f7d9682133d7cc708753f0116eda0eac6872331900a1f009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05152",
    "kind": "arxiv",
    "version": 1
  }
}