Pith Number

pith:MALU45UQ

pith:2017:MALU45UQOYSLL2Q4SK6QA4RREN

not attested not anchored not stored refs pending

Marstrand's Theorem Revisited: Projecting Sets of Dimension Zero

Agamemnon Zafeiropoulos, Kenneth Falconer, Sanju Velani, Victor Beresnevich

arxiv:1703.08554 v2 · 2017-03-24 · math.MG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MALU45UQOYSLL2Q4SK6QA4RREN}

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	2026-05-17T23:58:19.721389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60174e76907624b5ea1c92bd0072312370875050e8cf3871018af8de8f333185

Aliases

arxiv: 1703.08554 · arxiv_version: 1703.08554v2 · doi: 10.48550/arxiv.1703.08554 · pith_short_12: MALU45UQOYSL · pith_short_16: MALU45UQOYSLL2Q4 · pith_short_8: MALU45UQ

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/MALU45UQOYSLL2Q4SK6QA4RREN \
  | 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: 60174e76907624b5ea1c92bd0072312370875050e8cf3871018af8de8f333185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8858d5225e5750d7e037617bf9bb564d3dfeeee64d1a820dce382c1c0e7fcf73",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-03-24T18:01:48Z",
    "title_canon_sha256": "d70ddfcc051d7b5b6922daaa09781c12ca4395f12d0aef311749c7443b697c6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08554",
    "kind": "arxiv",
    "version": 2
  }
}