Pith Number

pith:2JR3MLZV

pith:2018:2JR3MLZVQDD5JQCKHI7DYZ7U7Y

not attested not anchored not stored refs pending

Strongly Independent Matrices and Applications on the Rigidity of $A$-Invariant Measures on $n$-Torus

Enhui Shi, Huichi Huang, Hui Xu

arxiv:1806.03601 v1 · 2018-06-10 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JR3MLZVQDD5JQCKHI7DYZ7U7Y}

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	2026-05-18T00:13:42.792897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d263b62f3580c7d4c04a3a3e3c67f4fe221ffb3fcda8871e651204423af0a507

Aliases

arxiv: 1806.03601 · arxiv_version: 1806.03601v1 · doi: 10.48550/arxiv.1806.03601 · pith_short_12: 2JR3MLZVQDD5 · pith_short_16: 2JR3MLZVQDD5JQCK · pith_short_8: 2JR3MLZV

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/2JR3MLZVQDD5JQCKHI7DYZ7U7Y \
  | 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: d263b62f3580c7d4c04a3a3e3c67f4fe221ffb3fcda8871e651204423af0a507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b9d40b1db3f315106d4e44b0d1b93ffc3d5683a3ead8ae25618951815e22693",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-06-10T07:31:39Z",
    "title_canon_sha256": "5c359b594f48dbd7dfa8eb4e7a7e199c512799254504e14bf1a6f8c5817629ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03601",
    "kind": "arxiv",
    "version": 1
  }
}