Pith Number

pith:VKF3632J

pith:2015:VKF3632J2O3PEEAOMGKMGXBAVQ

not attested not anchored not stored refs pending

On Falconer's formula for the generalised Renyi dimension of a self-affine measure

Ian D. Morris

arxiv:1509.08781 v1 · 2015-09-29 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKF3632J2O3PEEAOMGKMGXBAVQ}

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	2026-05-18T01:31:47.128465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa8bbf6f49d3b6f2100e6194c35c20ac3f9fe2898a97999871fd903555b0b436

Aliases

arxiv: 1509.08781 · arxiv_version: 1509.08781v1 · doi: 10.48550/arxiv.1509.08781 · pith_short_12: VKF3632J2O3P · pith_short_16: VKF3632J2O3PEEAO · pith_short_8: VKF3632J

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/VKF3632J2O3PEEAOMGKMGXBAVQ \
  | 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: aa8bbf6f49d3b6f2100e6194c35c20ac3f9fe2898a97999871fd903555b0b436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51ca7054477997d449bef80d1437ed6f1f116ef3063f7c99bfd023388802332f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-09-29T14:49:02Z",
    "title_canon_sha256": "151d79f1ea610cba5e836936623ece71a0408e5fa3b4b2ef10b8ddc7b3a71c33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08781",
    "kind": "arxiv",
    "version": 1
  }
}