Pith Number

pith:XV2L7KJ2

pith:2015:XV2L7KJ2ZOAJ2NSH6RMXOBPZQT

not attested not anchored not stored refs pending

Weak separation condition, Assouad dimension, and Furstenberg homogeneity

Antti K\"aenm\"aki, Eino Rossi

arxiv:1506.07851 v2 · 2015-06-25 · 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{XV2L7KJ2ZOAJ2NSH6RMXOBPZQT}

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	2026-05-18T00:51:34.312293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd74bfa93acb809d3647f4597705f984d4161030ae2dbad1277dde3fd4d10985

Aliases

arxiv: 1506.07851 · arxiv_version: 1506.07851v2 · doi: 10.48550/arxiv.1506.07851 · pith_short_12: XV2L7KJ2ZOAJ · pith_short_16: XV2L7KJ2ZOAJ2NSH · pith_short_8: XV2L7KJ2

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/XV2L7KJ2ZOAJ2NSH6RMXOBPZQT \
  | 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: bd74bfa93acb809d3647f4597705f984d4161030ae2dbad1277dde3fd4d10985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b44a1af4ddb04a489b834e317c576c4785d8ca2727e3eccf4b35fde89814626",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-06-25T19:13:40Z",
    "title_canon_sha256": "574ec850aaefb9ab1ca72fe47f5f4b3b21df201f454880ffc15582197fc8fd56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07851",
    "kind": "arxiv",
    "version": 2
  }
}