Pith Number

pith:6ZBULF4I

pith:2014:6ZBULF4IS42W3KNMIVO5YQT2AG

not attested not anchored not stored refs pending

Hausdorff dimension of the arithmetic sum of self-similar sets

Kan Jiang

arxiv:1411.0505 v3 · 2014-11-03 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ZBULF4IS42W3KNMIVO5YQT2AG}

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	2026-05-18T01:21:13.721948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f64345978897356da9ac455ddc427a0190e3312491cce23568c39a78d2a5bf46

Aliases

arxiv: 1411.0505 · arxiv_version: 1411.0505v3 · doi: 10.48550/arxiv.1411.0505 · pith_short_12: 6ZBULF4IS42W · pith_short_16: 6ZBULF4IS42W3KNM · pith_short_8: 6ZBULF4I

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/6ZBULF4IS42W3KNMIVO5YQT2AG \
  | 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: f64345978897356da9ac455ddc427a0190e3312491cce23568c39a78d2a5bf46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f190412f90e95f54988c333a752c7e687d21461d0c1edaca97bc91d63dd8431",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-11-03T14:40:37Z",
    "title_canon_sha256": "866fc3f5f55935a5bd994309c9907a55b2a7065be4aab79a1b2bf2b6b3964fcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0505",
    "kind": "arxiv",
    "version": 3
  }
}