Pith Number

pith:M5ZFGSJR

pith:2015:M5ZFGSJRXAYAY6MYGZ57HQAN2T

not attested not anchored not stored refs pending

Strong Marstrand theorems and dimensions of sets formed by subsets of hyperplanes

Kenneth Falconer, Pertti Mattila

arxiv:1503.01284 v2 · 2015-03-04 · 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{M5ZFGSJRXAYAY6MYGZ57HQAN2T}

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	2026-05-18T01:26:34.345863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6772534931b8300c7998367bf3c00dd4fb3f25f5e945d64b979167844e73375c

Aliases

arxiv: 1503.01284 · arxiv_version: 1503.01284v2 · doi: 10.48550/arxiv.1503.01284 · pith_short_12: M5ZFGSJRXAYA · pith_short_16: M5ZFGSJRXAYAY6MY · pith_short_8: M5ZFGSJR

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/M5ZFGSJRXAYAY6MYGZ57HQAN2T \
  | 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: 6772534931b8300c7998367bf3c00dd4fb3f25f5e945d64b979167844e73375c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "513a283d484433a9d1851d575ba6bdc2d266678ff0944c9c4cafe7d0a6ea6c5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-03-04T11:29:19Z",
    "title_canon_sha256": "e84dec1054d422c88d4873674e0d6acea9eb8b3cac2cc846ef1e7252a61466e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01284",
    "kind": "arxiv",
    "version": 2
  }
}