Pith Number

pith:FFNR6TY5

pith:2017:FFNR6TY57DJOZUUIGRDWELRIAB

not attested not anchored not stored refs pending

Mixed $L^p(L^2)$ norms of the lattice point discrepancy

Bianca Gariboldi, Giacomo Gigante, Leonardo Colzani

arxiv:1706.04419 v1 · 2017-06-14 · math.NT · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFNR6TY57DJOZUUIGRDWELRIAB}

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	2026-05-17T23:49:22.753343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

295b1f4f1df8d2ecd2883447622e28004a65ff381bc50c2da9745c10bf3b1fca

Aliases

arxiv: 1706.04419 · arxiv_version: 1706.04419v1 · doi: 10.48550/arxiv.1706.04419 · pith_short_12: FFNR6TY57DJO · pith_short_16: FFNR6TY57DJOZUUI · pith_short_8: FFNR6TY5

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/FFNR6TY57DJOZUUIGRDWELRIAB \
  | 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: 295b1f4f1df8d2ecd2883447622e28004a65ff381bc50c2da9745c10bf3b1fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80aad9c7817539f2c4e0af57e3bc5329cf82262fd6b37767d6e3687f7ca3a8e6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-14T11:47:44Z",
    "title_canon_sha256": "06c9344b60a1cf3c1de5431ec72eddd6534108c55e47b6b152052de3fef80232"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04419",
    "kind": "arxiv",
    "version": 1
  }
}