Pith Number

pith:2257Q7ZN

pith:2013:2257Q7ZNPMIRU7Q5XH5KX5BV4Z

not attested not anchored not stored refs pending

Refined size estimates for Furstenberg sets via Hausdorff measures: a survey of some recent results

Ezequiel Rela

arxiv:1305.3752 v1 · 2013-05-16 · 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{2257Q7ZNPMIRU7Q5XH5KX5BV4Z}

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	2026-05-18T03:25:34.025604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6bbf87f2d7b111a7e1db9faabf435e652e21907e355684d78b34c03fe56e4fe

Aliases

arxiv: 1305.3752 · arxiv_version: 1305.3752v1 · doi: 10.48550/arxiv.1305.3752 · pith_short_12: 2257Q7ZNPMIR · pith_short_16: 2257Q7ZNPMIRU7Q5 · pith_short_8: 2257Q7ZN

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/2257Q7ZNPMIRU7Q5XH5KX5BV4Z \
  | 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: d6bbf87f2d7b111a7e1db9faabf435e652e21907e355684d78b34c03fe56e4fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f777adfb1f4a06e572afe1c7383a0cd979e0ad8d66e9211a661b8c84802b9848",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-16T10:38:40Z",
    "title_canon_sha256": "9dcea47b9b4b63dc1a614b7b350e7f53ee912d593c8eeba331f48fcc9cbbf008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3752",
    "kind": "arxiv",
    "version": 1
  }
}