Pith Number

pith:5T2N5IOU

pith:2023:5T2N5IOUSUMX4CLLSRMJFNRHSF

not attested not anchored not stored refs pending

Multifractal analysis of measures arising from random substitutions

Alex Rutar, Andrew Mitchell

arxiv:2301.04958 v2 · 2023-01-12 · 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{5T2N5IOUSUMX4CLLSRMJFNRHSF}

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	2026-07-05T10:06:36.855050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecf4dea1d495197e096b945892b627917fbbfcdc7ade8b4803670f67cab205a0

Aliases

arxiv: 2301.04958 · arxiv_version: 2301.04958v2 · doi: 10.48550/arxiv.2301.04958 · pith_short_12: 5T2N5IOUSUMX · pith_short_16: 5T2N5IOUSUMX4CLL · pith_short_8: 5T2N5IOU

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/5T2N5IOUSUMX4CLLSRMJFNRHSF \
  | 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: ecf4dea1d495197e096b945892b627917fbbfcdc7ade8b4803670f67cab205a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "223fd35fa3e565965b0886bfd682f98ffc4437a824cb5d4fdf874bfed0ca606b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-01-12T12:06:40Z",
    "title_canon_sha256": "c6acb7abcaf1a8e24b530415b56659fdc2d72e8fb6fe68cef8bc2e9e4e2db90c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.04958",
    "kind": "arxiv",
    "version": 2
  }
}