Pith Number

pith:OLVZO7L7

pith:2012:OLVZO7L7QUWMIKS6GJNF7FHYIV

not attested not anchored not stored refs pending

Gap distributions and homogeneous dynamics

Jayadev S. Athreya

arxiv:1210.0816 v2 · 2012-10-02 · math.DS · math.GT · 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{OLVZO7L7QUWMIKS6GJNF7FHYIV}

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	2026-05-18T02:42:13.304199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72eb977d7f852cc42a5e325a5f94f845505f210fb271c3b98dd165a92829170b

Aliases

arxiv: 1210.0816 · arxiv_version: 1210.0816v2 · doi: 10.48550/arxiv.1210.0816 · pith_short_12: OLVZO7L7QUWM · pith_short_16: OLVZO7L7QUWMIKS6 · pith_short_8: OLVZO7L7

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/OLVZO7L7QUWMIKS6GJNF7FHYIV \
  | 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: 72eb977d7f852cc42a5e325a5f94f845505f210fb271c3b98dd165a92829170b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c4631ea9442593f5a28cbbf47d0837c61b880da5539b30f8e887c150121cff",
    "cross_cats_sorted": [
      "math.GT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-02T16:00:31Z",
    "title_canon_sha256": "d317ec34912cc53ac974be60db0e1185a36c3f9725dbea12a7b142b93af71bd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0816",
    "kind": "arxiv",
    "version": 2
  }
}