Pith Number

pith:X2RBUWRR

pith:2007:X2RBUWRR26BVYTE7TBZABM2SDP

not attested not anchored not stored refs pending

On the Correlations, Selberg Integral and Symmetry of Sieve Functions in Short Intervals

Giovanni Coppola

arxiv:0709.3648 v3 · 2007-09-23 · 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{X2RBUWRR26BVYTE7TBZABM2SDP}

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	2026-05-18T04:14:53.822373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bea21a5a31d7835c4c9f987200b3521bc73fe82ae9078fff976e8a33f1122d2c

Aliases

arxiv: 0709.3648 · arxiv_version: 0709.3648v3 · doi: 10.48550/arxiv.0709.3648 · pith_short_12: X2RBUWRR26BV · pith_short_16: X2RBUWRR26BVYTE7 · pith_short_8: X2RBUWRR

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/X2RBUWRR26BVYTE7TBZABM2SDP \
  | 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: bea21a5a31d7835c4c9f987200b3521bc73fe82ae9078fff976e8a33f1122d2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ec560fbfb0d95f365763c80ccb943e2ded451d0b4749e6bb9836fd91ecc3b0a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-09-23T16:54:09Z",
    "title_canon_sha256": "2ab508fdf47ee19dfd2ae0b9051d9c7eded1a48702df2f3c27a4cb7e2c50f91a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3648",
    "kind": "arxiv",
    "version": 3
  }
}