Pith Number

pith:YMD4PE2J

pith:2019:YMD4PE2J2R64LXHUY5JZFQXTUD

not attested not anchored not stored refs pending

A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures

Alexander Condori, Silas L. Carvalho

arxiv:1908.00998 v2 · 2019-08-02 · 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{YMD4PE2J2R64LXHUY5JZFQXTUD}

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	2026-07-05T00:11:35.508854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c307c79349d47dc5dcf4c75392c2f3a0d747d828d55892504408f018684c1f8a

Aliases

arxiv: 1908.00998 · arxiv_version: 1908.00998v2 · doi: 10.48550/arxiv.1908.00998 · pith_short_12: YMD4PE2J2R64 · pith_short_16: YMD4PE2J2R64LXHU · pith_short_8: YMD4PE2J

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/YMD4PE2J2R64LXHUY5JZFQXTUD \
  | 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: c307c79349d47dc5dcf4c75392c2f3a0d747d828d55892504408f018684c1f8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0e6537436487257efa5c9bf2a140ed900695dc2f61fb866ccb434400c0e92ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-02T18:21:22Z",
    "title_canon_sha256": "a5cc71c1882016befb67e88aa459352fe5c644f18209f7c812a23a7e534678c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00998",
    "kind": "arxiv",
    "version": 2
  }
}