Pith Number

pith:3JGUXJBN

pith:2016:3JGUXJBNVXW6CDN6SQRJTPAPBK

not attested not anchored not stored refs pending

Measurable Steinhaus sets do not exist for finite sets or the integers in the plane

Michael Papadimitrakis, Mihail N. Kolountzakis

arxiv:1604.06454 v2 · 2016-04-21 · math.MG · 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{3JGUXJBNVXW6CDN6SQRJTPAPBK}

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	2026-05-18T00:39:40.559349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4d4ba42dadede10dbe942299bc0f0abaf1c98a239651db93d41841db77f7d5

Aliases

arxiv: 1604.06454 · arxiv_version: 1604.06454v2 · doi: 10.48550/arxiv.1604.06454 · pith_short_12: 3JGUXJBNVXW6 · pith_short_16: 3JGUXJBNVXW6CDN6 · pith_short_8: 3JGUXJBN

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/3JGUXJBNVXW6CDN6SQRJTPAPBK \
  | 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: da4d4ba42dadede10dbe942299bc0f0abaf1c98a239651db93d41841db77f7d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28de2452dd7772ba98608144d52081f16e3972dabe48d38614d85149ada1dad5",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-04-21T18:40:41Z",
    "title_canon_sha256": "ad84d34ad2c74097a158c91117576e1ce6275219d16c38ffc9cc8ada28dfff13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06454",
    "kind": "arxiv",
    "version": 2
  }
}