Pith Number

pith:AO3ORGH4

pith:2018:AO3ORGH4UHAD6SIA5VQNASOYP6

not attested not anchored not stored refs pending

A new bound on Erd\H{o}s distinct distances problem in the plane over prime fields

Alex Iosevich, Chun-Yen Shen, Doowon Koh, Le Anh Vinh, Thang Pham

arxiv:1805.08900 v2 · 2018-05-22 · 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{AO3ORGH4UHAD6SIA5VQNASOYP6}

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	2026-05-17T23:50:38.640911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03b6e898fca1c03f4900ed60d049d87fbdc3df1254f08fc6e0b1bf8762245a3a

Aliases

arxiv: 1805.08900 · arxiv_version: 1805.08900v2 · doi: 10.48550/arxiv.1805.08900 · pith_short_12: AO3ORGH4UHAD · pith_short_16: AO3ORGH4UHAD6SIA · pith_short_8: AO3ORGH4

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/AO3ORGH4UHAD6SIA5VQNASOYP6 \
  | 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: 03b6e898fca1c03f4900ed60d049d87fbdc3df1254f08fc6e0b1bf8762245a3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "920bf29b76555fbfaccbb8de6b9e1e61bf05b84b8f13f48204b81bf752051ddb",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-22T23:01:43Z",
    "title_canon_sha256": "344093b26e4f79f5ca72e4578a077fd6dd5a77b4d4356c8a1da558ea2fc75d7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08900",
    "kind": "arxiv",
    "version": 2
  }
}