Pith Number

pith:CBXV7T4P

pith:2017:CBXV7T4P65YYYCLWEQSHZRNTLC

not attested not anchored not stored refs pending

Central limit theorems in the geometry of numbers

Alexander Gorodnik, Michael Bj\"orklund

arxiv:1706.09218 v2 · 2017-06-28 · math.NT · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBXV7T4P65YYYCLWEQSHZRNTLC}

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	2026-05-18T00:34:37.035325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

106f5fcf8ff7718c097624247cc5b358bcd20b738593ccf703480d7740821a15

Aliases

arxiv: 1706.09218 · arxiv_version: 1706.09218v2 · doi: 10.48550/arxiv.1706.09218 · pith_short_12: CBXV7T4P65YY · pith_short_16: CBXV7T4P65YYYCLW · pith_short_8: CBXV7T4P

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/CBXV7T4P65YYYCLWEQSHZRNTLC \
  | 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: 106f5fcf8ff7718c097624247cc5b358bcd20b738593ccf703480d7740821a15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a593f521d8e19e80b6d243f1638c1e2ceb404cc5e316c12807b60ea2fac73ae2",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-28T11:18:36Z",
    "title_canon_sha256": "f131102596f20a5f5fb63d1194b82ff78e304b54365d27179995098637c5ea01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09218",
    "kind": "arxiv",
    "version": 2
  }
}