Pith Number

pith:CXO5SBVT

pith:2026:CXO5SBVT2VVM72NUC5PAZ4SU5X

not attested not anchored not stored refs pending

The sequence property for fractal dimensions

Kenneth Falconer, Yuyang Liu

arxiv:2608.06051 v1 · 2026-08-06 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXO5SBVT2VVM72NUC5PAZ4SU5X}

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	2026-08-07T01:39:45.418291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15ddd906b3d56acfe9b4175e0cf254edc3e9d03b03ce039cb0fae921050d6c12

Aliases

arxiv: 2608.06051 · arxiv_version: 2608.06051v1 · doi: 10.48550/arxiv.2608.06051 · pith_short_12: CXO5SBVT2VVM · pith_short_16: CXO5SBVT2VVM72NU · pith_short_8: CXO5SBVT

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/CXO5SBVT2VVM72NUC5PAZ4SU5X \
  | 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: 15ddd906b3d56acfe9b4175e0cf254edc3e9d03b03ce039cb0fae921050d6c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30d2711783bbdaddbdb942a4436fd6f13551d1fea7fb1a13f4100c77a7bac163",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-08-06T13:58:29Z",
    "title_canon_sha256": "b5db218204c86e829124651eddc3e305f25c1422765eb99e0a8d00303ed08f02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06051",
    "kind": "arxiv",
    "version": 1
  }
}