Pith Number

pith:UMKN47JW

pith:2016:UMKN47JWE64CFM642JCTWMIUBF

not attested not anchored not stored refs pending

Exeptional set estimates for the Hausdorff dimension of intersections

Pertti Mattila

arxiv:1606.09154 v1 · 2016-06-27 · 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{UMKN47JWE64CFM642JCTWMIUBF}

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	2026-05-18T00:26:57.832837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a314de7d3627b822b3dcd2453b3114094cbb0698881ca22c5f3a3bca4017d15a

Aliases

arxiv: 1606.09154 · arxiv_version: 1606.09154v1 · doi: 10.48550/arxiv.1606.09154 · pith_short_12: UMKN47JWE64C · pith_short_16: UMKN47JWE64CFM64 · pith_short_8: UMKN47JW

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/UMKN47JWE64CFM642JCTWMIUBF \
  | 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: a314de7d3627b822b3dcd2453b3114094cbb0698881ca22c5f3a3bca4017d15a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6672faeb4c620dfa4bb10666b74b0a2ddfef97be0f0fb4a6783192232f48c02f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-06-27T10:05:47Z",
    "title_canon_sha256": "ee594069b1d3b202ea2f2a88c365121b39ad3f3d291a3e5bc850c9257fd98665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09154",
    "kind": "arxiv",
    "version": 1
  }
}