Pith Number

pith:BEJZ4MIS

pith:2018:BEJZ4MIS2FX7IRFFEPDPUWNU6V

not attested not anchored not stored refs pending

Hausdorff dimension of pinned distance sets and the $L^2$-method

Bochen Liu

arxiv:1810.08127 v3 · 2018-10-18 · math.CA · math.CO · 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{BEJZ4MIS2FX7IRFFEPDPUWNU6V}

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	2026-07-05T00:16:58.835457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09139e3112d16ff444a523c6fa59b4f5598be7f384d801d50706f8100925e94a

Aliases

arxiv: 1810.08127 · arxiv_version: 1810.08127v3 · doi: 10.48550/arxiv.1810.08127 · pith_short_12: BEJZ4MIS2FX7 · pith_short_16: BEJZ4MIS2FX7IRFF · pith_short_8: BEJZ4MIS

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/BEJZ4MIS2FX7IRFFEPDPUWNU6V \
  | 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: 09139e3112d16ff444a523c6fa59b4f5598be7f384d801d50706f8100925e94a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96f81e71d6860f11eac8562c396f0b2ecddfde914b8dd60c52cc370f5b134acc",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-10-18T16:01:45Z",
    "title_canon_sha256": "6a1167228342382a6a76be66a686f1d27291cbf34c23e4804f9775519703651b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08127",
    "kind": "arxiv",
    "version": 3
  }
}