Pith Number

pith:ONCGLC56

pith:2018:ONCGLC56FHJ7PCDNJRZWAOPFR3

not attested not anchored not stored refs pending

On Falconer's distance set problem in the plane

Alex Iosevich, Hong Wang, Larry Guth, Yumeng Ou

arxiv:1808.09346 v1 · 2018-08-28 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ONCGLC56FHJ7PCDNJRZWAOPFR3}

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	2026-05-18T00:07:01.630728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7344658bbe29d3f7886d4c736039e58ef03569b7403687b2a3b3dbf370800560

Aliases

arxiv: 1808.09346 · arxiv_version: 1808.09346v1 · doi: 10.48550/arxiv.1808.09346 · pith_short_12: ONCGLC56FHJ7 · pith_short_16: ONCGLC56FHJ7PCDN · pith_short_8: ONCGLC56

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/ONCGLC56FHJ7PCDNJRZWAOPFR3 \
  | 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: 7344658bbe29d3f7886d4c736039e58ef03569b7403687b2a3b3dbf370800560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3baa838b08956e3b7bad4bce663c59644bb10e51e3e1a875c466650595db90a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-08-28T15:01:28Z",
    "title_canon_sha256": "1280b923358a1ff3fed4ec89551b4c385dca746d03419ca0f4d799a476218ad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09346",
    "kind": "arxiv",
    "version": 1
  }
}