Pith Number

pith:QTVK7LAS

pith:2017:QTVK7LAS7SIU6G5RXABKNSGT67

not attested not anchored not stored refs pending

Equidistribution of dilated curves on nilmanifolds

Bryna Kra, Nimish Shah, Wenbo Sun

arxiv:1712.02907 v2 · 2017-12-08 · 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{QTVK7LAS7SIU6G5RXABKNSGT67}

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	2026-05-17T23:58:59.344418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84eaafac12fc914f1bb1b802a6c8d3f7dcd6533e2d35fc5f19391a45fa8adcec

Aliases

arxiv: 1712.02907 · arxiv_version: 1712.02907v2 · doi: 10.48550/arxiv.1712.02907 · pith_short_12: QTVK7LAS7SIU · pith_short_16: QTVK7LAS7SIU6G5R · pith_short_8: QTVK7LAS

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/QTVK7LAS7SIU6G5RXABKNSGT67 \
  | 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: 84eaafac12fc914f1bb1b802a6c8d3f7dcd6533e2d35fc5f19391a45fa8adcec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b3625e734257e292a5438ea2bc79579f1f55e1990018cc1f2c2e608a6e97fc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-08T01:34:04Z",
    "title_canon_sha256": "2ed488adcd723320a28a2c2234914a0427cccd24d5490a56f3bc7cca85445f17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02907",
    "kind": "arxiv",
    "version": 2
  }
}