Pith Number

pith:VPXND6B2

pith:2013:VPXND6B24T5WIXJTKBFYDZBDD6

not attested not anchored not stored refs pending

An extension of the pair-correlation conjecture and applications

Alberto Perelli, Alessandro Languasco, Alessandro Zaccagnini

arxiv:1308.3934 v3 · 2013-08-19 · 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{VPXND6B24T5WIXJTKBFYDZBDD6}

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	2026-05-18T01:10:11.177932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abeed1f83ae4fb645d33504b81e4231f869b2ce6c5862d342730bd30a03b4197

Aliases

arxiv: 1308.3934 · arxiv_version: 1308.3934v3 · doi: 10.48550/arxiv.1308.3934 · pith_short_12: VPXND6B24T5W · pith_short_16: VPXND6B24T5WIXJT · pith_short_8: VPXND6B2

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/VPXND6B24T5WIXJTKBFYDZBDD6 \
  | 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: abeed1f83ae4fb645d33504b81e4231f869b2ce6c5862d342730bd30a03b4197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6a3c9be16a79a3ac78614c784478973ac1f64ade9eaceb551ad1ea9da82f358",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-19T06:59:08Z",
    "title_canon_sha256": "28b2bda6ed91243bbd76714feff97458228ea1a00fea6261bf9c51a1bf548e0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3934",
    "kind": "arxiv",
    "version": 3
  }
}