Pith Number

pith:4W4JIKVH

pith:2013:4W4JIKVHDJFZCOO2JRRC4PAPOQ

not attested not anchored not stored refs pending

Equidistribution of expanding curves in homogeneous spaces and Diophantine approximation for square matrices

Lei Yang

arxiv:1311.1106 v4 · 2013-11-05 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4W4JIKVHDJFZCOO2JRRC4PAPOQ}

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	2026-05-18T01:27:37.025001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b8942aa71a4b9139da4c622e3c0f7405d6fa14d5248811d3679f820e1a9648

Aliases

arxiv: 1311.1106 · arxiv_version: 1311.1106v4 · doi: 10.48550/arxiv.1311.1106 · pith_short_12: 4W4JIKVHDJFZ · pith_short_16: 4W4JIKVHDJFZCOO2 · pith_short_8: 4W4JIKVH

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/4W4JIKVHDJFZCOO2JRRC4PAPOQ \
  | 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: e5b8942aa71a4b9139da4c622e3c0f7405d6fa14d5248811d3679f820e1a9648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb444a447569b2f43b146c914a472f656e44a01e8ec2116aaa267f39d82f9f92",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-05T16:09:47Z",
    "title_canon_sha256": "6fa7305a87ecaf80e8227bcbe83cb884d341d1942a431b0f4b1c019b576f9867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1106",
    "kind": "arxiv",
    "version": 4
  }
}