Pith Number

pith:QD2FAGEP

pith:2013:QD2FAGEPYC7BFCUAMLWRKZ2RXS

not attested not anchored not stored refs pending

An Effective Ratner Equidistribution Result for ASL(2,R)

Andreas Str\"ombergsson

arxiv:1309.6103 v3 · 2013-09-24 · 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{QD2FAGEPYC7BFCUAMLWRKZ2RXS}

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	2026-05-18T01:28:15.101535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80f450188fc0be128a8062ed156751bc86feb99076428d944bbbd8bf139de5dd

Aliases

arxiv: 1309.6103 · arxiv_version: 1309.6103v3 · doi: 10.48550/arxiv.1309.6103 · pith_short_12: QD2FAGEPYC7B · pith_short_16: QD2FAGEPYC7BFCUA · pith_short_8: QD2FAGEP

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/QD2FAGEPYC7BFCUAMLWRKZ2RXS \
  | 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: 80f450188fc0be128a8062ed156751bc86feb99076428d944bbbd8bf139de5dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c9d7248cadcd5318f6edc902158251064447fe8ea12c1460c1014784e1fd652",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-24T10:13:33Z",
    "title_canon_sha256": "6313ae82655db97a64e588f9fae9ca887d9ad4945e0a8f7da9c7ee4c87409622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6103",
    "kind": "arxiv",
    "version": 3
  }
}