Pith Number

pith:RRRHSZO2

pith:2009:RRRHSZO2PF3DIY2EVLNUOH2VYW

not attested not anchored not stored refs pending

Pair Correlation for Fractional Parts of $\alpha n^2$

D.R. Heath-Brown

arxiv:0904.0714 v1 · 2009-04-04 · 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{RRRHSZO2PF3DIY2EVLNUOH2VYW}

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	2026-05-18T02:14:07.492891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c627965da7976346344aadb471f55c5a1e7e567d75441ee3375440e01402ad0

Aliases

arxiv: 0904.0714 · arxiv_version: 0904.0714v1 · doi: 10.48550/arxiv.0904.0714 · pith_short_12: RRRHSZO2PF3D · pith_short_16: RRRHSZO2PF3DIY2E · pith_short_8: RRRHSZO2

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/RRRHSZO2PF3DIY2EVLNUOH2VYW \
  | 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: 8c627965da7976346344aadb471f55c5a1e7e567d75441ee3375440e01402ad0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0da2bb8fbe60df3cf83d6cd115cd2ad13a823c88df06c1fe5cfb9b8fd249aa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-04-04T14:21:31Z",
    "title_canon_sha256": "ec237fdec186a33d23eda9f6a98859ac83b36211c9a50bf999c657516b39fbc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0714",
    "kind": "arxiv",
    "version": 1
  }
}