Pith Number

pith:H7TAMO6K

pith:2011:H7TAMO6KL4NF4OQYUR4QHXR625

not attested not anchored not stored refs pending

Convergence of measures under diagonal actions on homogeneous spaces

Ronggang Shi

arxiv:1103.1244 v5 · 2011-03-07 · 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{H7TAMO6KL4NF4OQYUR4QHXR625}

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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	2026-05-18T02:47:24.536809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fe6063bca5f1a5e3a18a47903de3ed7621ae44e3f9c544cd6b4dcc3699d6375

Aliases

arxiv: 1103.1244 · arxiv_version: 1103.1244v5 · doi: 10.48550/arxiv.1103.1244 · pith_short_12: H7TAMO6KL4NF · pith_short_16: H7TAMO6KL4NF4OQY · pith_short_8: H7TAMO6K

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/H7TAMO6KL4NF4OQYUR4QHXR625 \
  | 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: 3fe6063bca5f1a5e3a18a47903de3ed7621ae44e3f9c544cd6b4dcc3699d6375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf6c4f83ad0510daca28a239c4b0e282e5d3e3f4701f7265081b9074a9dbfdb",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-07T11:15:51Z",
    "title_canon_sha256": "2083d4f33261ae2e2d913e8de282ec97e562b84bea41f0cbe5f47f24eaf4cdd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1244",
    "kind": "arxiv",
    "version": 5
  }
}