Pith Number

pith:2G4RO35Z

pith:2011:2G4RO35ZB3YVBR7UQDZG4WIKZ2

not attested not anchored not stored refs pending

On the Mattila-Sjolin theorem for distance sets

Alex Iosevich, Krystal Taylor, Mihalis Mourgoglou

arxiv:1110.6805 v1 · 2011-10-31 · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2G4RO35ZB3YVBR7UQDZG4WIKZ2}

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	2026-05-18T04:09:54.154157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1b9176fb90ef150c7f480f26e590ace8097ae3d86f1fff17d264bb03566c750

Aliases

arxiv: 1110.6805 · arxiv_version: 1110.6805v1 · doi: 10.48550/arxiv.1110.6805 · pith_short_12: 2G4RO35ZB3YV · pith_short_16: 2G4RO35ZB3YVBR7U · pith_short_8: 2G4RO35Z

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/2G4RO35ZB3YVBR7UQDZG4WIKZ2 \
  | 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: d1b9176fb90ef150c7f480f26e590ace8097ae3d86f1fff17d264bb03566c750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0da925b5590ee6714125246060838c17b7b4db5b9cd40db06704b9e5500c3cee",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-31T14:31:14Z",
    "title_canon_sha256": "45a325b81da1f9b93cc0a90cd1daa777e3bfd430b4565d578fb3211788ffe073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6805",
    "kind": "arxiv",
    "version": 1
  }
}