Pith Number

pith:BNI3F7AQ

pith:2011:BNI3F7AQC2XHPXUEFR2WKGEIGY

not attested not anchored not stored refs pending

Lattice points close to families of surfaces, non-isotropic dilations and regularity of generalized Radon transforms

Alex Iosevich, Krystal Taylor

arxiv:1103.1670 v3 · 2011-03-09 · math.CA · math.AP · math.CO · 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{BNI3F7AQC2XHPXUEFR2WKGEIGY}

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	2026-05-18T04:26:55.417608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b51b2fc1016ae77de842c75651888360762c0fd05b515a3bf64c43819a4dee3

Aliases

arxiv: 1103.1670 · arxiv_version: 1103.1670v3 · doi: 10.48550/arxiv.1103.1670 · pith_short_12: BNI3F7AQC2XH · pith_short_16: BNI3F7AQC2XHPXUE · pith_short_8: BNI3F7AQ

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/BNI3F7AQC2XHPXUEFR2WKGEIGY \
  | 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: 0b51b2fc1016ae77de842c75651888360762c0fd05b515a3bf64c43819a4dee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78ed8e95fd9ae00aa91c300396c26f0509c466e33704cca9a1cf1dd19b805a96",
    "cross_cats_sorted": [
      "math.AP",
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-03-09T00:15:17Z",
    "title_canon_sha256": "ab28c4375bea8ba21026ad9da3bb17d209a1ce00127993816f2878f1cf8bd21f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1670",
    "kind": "arxiv",
    "version": 3
  }
}