Pith Number

pith:S5HZRAUK

pith:2018:S5HZRAUKFAXQC4ORNUQBNURHRR

not attested not anchored not stored refs pending

No temporal distributional limit theorem for a.e. irrational translation

Dmitry Dolgopyat, Omri Sarig

arxiv:1803.05157 v1 · 2018-03-14 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5HZRAUKFAXQC4ORNUQBNURHRR}

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	2026-05-18T00:21:01.945619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

974f98828a282f0171d16d2016d2278c6c59c57a077afa9e3c8173da750248b7

Aliases

arxiv: 1803.05157 · arxiv_version: 1803.05157v1 · doi: 10.48550/arxiv.1803.05157 · pith_short_12: S5HZRAUKFAXQ · pith_short_16: S5HZRAUKFAXQC4OR · pith_short_8: S5HZRAUK

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/S5HZRAUKFAXQC4ORNUQBNURHRR \
  | 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: 974f98828a282f0171d16d2016d2278c6c59c57a077afa9e3c8173da750248b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa7171382568e6c01498f66601dc2f8b73eff15b7facd0696c2e20650d4806a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-03-14T07:58:17Z",
    "title_canon_sha256": "1d1ea0d247f80ab4699cf13e78c4cf415a0eb960eb1fd62e769e6ed08b955999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05157",
    "kind": "arxiv",
    "version": 1
  }
}