Pith Number

pith:ZNVLAFLZ

pith:2011:ZNVLAFLZMRREG6JOHZ3R4P7S2T

not attested not anchored not stored refs pending

On an application of Guth-Katz theorem

Alex Iosevich, Misha Rudnev, Oliver Roche-Newton

arxiv:1103.1354 v5 · 2011-03-07 · math.CO · math.CA · 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{ZNVLAFLZMRREG6JOHZ3R4P7S2T}

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	2026-05-18T01:21:14.243288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb6ab01579646243792e3e771e3ff2d4dd08e9424c0a3b860c7bbf0aec28b347

Aliases

arxiv: 1103.1354 · arxiv_version: 1103.1354v5 · doi: 10.48550/arxiv.1103.1354 · pith_short_12: ZNVLAFLZMRRE · pith_short_16: ZNVLAFLZMRREG6JO · pith_short_8: ZNVLAFLZ

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/ZNVLAFLZMRREG6JOHZ3R4P7S2T \
  | 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: cb6ab01579646243792e3e771e3ff2d4dd08e9424c0a3b860c7bbf0aec28b347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdbf23e6901c7d347b23236275f57c5960a32724093bf672196451bba903c21c",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-07T19:48:48Z",
    "title_canon_sha256": "dabe15407b327be32fccbafb861b0a2efdf71e9f0d0020f85bfd20bb3f4f604c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1354",
    "kind": "arxiv",
    "version": 5
  }
}