Pith Number

pith:TGAJ2TMV

pith:2015:TGAJ2TMVLOBEQYCUZRCHDSHWXU

not attested not anchored not stored refs pending

Ledrappier-Young formula and exact dimensionality of self-affine measures

Antti K\"aenm\"aki, Bal\'azs B\'ar\'any

arxiv:1511.05792 v3 · 2015-11-18 · 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{TGAJ2TMVLOBEQYCUZRCHDSHWXU}

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	2026-05-18T00:37:48.764024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99809d4d955b82486054cc4471c8f6bd27129e8f04b3e720857232e9cae5bc4d

Aliases

arxiv: 1511.05792 · arxiv_version: 1511.05792v3 · doi: 10.48550/arxiv.1511.05792 · pith_short_12: TGAJ2TMVLOBE · pith_short_16: TGAJ2TMVLOBEQYCU · pith_short_8: TGAJ2TMV

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/TGAJ2TMVLOBEQYCUZRCHDSHWXU \
  | 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: 99809d4d955b82486054cc4471c8f6bd27129e8f04b3e720857232e9cae5bc4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdf7b905beb52af7b18858f2b7af36649d219efe726b14c17ba647e2b882e404",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-18T14:13:15Z",
    "title_canon_sha256": "004546988e1caf2470995b0676a6bda072bd83f2a6ef28be2c4a3d988292f790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05792",
    "kind": "arxiv",
    "version": 3
  }
}