Pith Number

pith:IV2ONEIN

pith:2018:IV2ONEIN2F2HFZYTYFHTATWKIU

not attested not anchored not stored refs pending

Improved bounds for the dimensions of planar distance sets

Pablo Shmerkin

arxiv:1811.03379 v1 · 2018-11-08 · 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{IV2ONEIN2F2HFZYTYFHTATWKIU}

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	2026-05-18T00:01:16.832545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4574e6910dd17472e713c14f304eca4522ee3cf5f48ac52edbc97f36dd9847c5

Aliases

arxiv: 1811.03379 · arxiv_version: 1811.03379v1 · doi: 10.48550/arxiv.1811.03379 · pith_short_12: IV2ONEIN2F2H · pith_short_16: IV2ONEIN2F2HFZYT · pith_short_8: IV2ONEIN

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/IV2ONEIN2F2HFZYTYFHTATWKIU \
  | 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: 4574e6910dd17472e713c14f304eca4522ee3cf5f48ac52edbc97f36dd9847c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afe6970fe16785dbcc474087fe3bb7fef1ba08bcf80cff39bfabf74f254c69f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-11-08T12:29:43Z",
    "title_canon_sha256": "c461b6535716b1874cb38c3a0284b68d045f5e817872813c6eb2815e7ac1d19a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03379",
    "kind": "arxiv",
    "version": 1
  }
}