Pith Number

pith:YZ74E3B5

pith:2024:YZ74E3B5TJE6R3OGDOH2NDVSGU

not attested not anchored not stored refs pending

Metric mean dimension, H\"older regularity and Assouad spectrum

Alexandre Baraviera, Gustavo Pessil, Maria Carvalho

arxiv:2407.15774 v2 · 2024-07-22 · 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{YZ74E3B5TJE6R3OGDOH2NDVSGU}

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.

Cited by

1 paper in Pith

On the Marstrand projection theorem for the Assouad spectrum

Receipt and verification

First computed	2026-07-05T11:10:46.858727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c67fc26c3d9a49e8edc61b8fa68eb2351a0244bb41b1b466570b44b89734eb05

Aliases

arxiv: 2407.15774 · arxiv_version: 2407.15774v2 · doi: 10.48550/arxiv.2407.15774 · pith_short_12: YZ74E3B5TJE6 · pith_short_16: YZ74E3B5TJE6R3OG · pith_short_8: YZ74E3B5

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/YZ74E3B5TJE6R3OGDOH2NDVSGU \
  | 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: c67fc26c3d9a49e8edc61b8fa68eb2351a0244bb41b1b466570b44b89734eb05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0b7c07e4da6ae603823673a345367ff60c69b0882675f205f7f675708036a6e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-07-22T16:26:03Z",
    "title_canon_sha256": "8e10db9155a43258f029c30cd0696d98890bff4b629fee9e76a549b1ff145bfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.15774",
    "kind": "arxiv",
    "version": 2
  }
}