Pith Number

pith:3SVDJSQU

pith:2024:3SVDJSQU6HIZOMNB3DRMWSB2CH

not attested not anchored not stored refs pending

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets

Hua Qiu, Qi Wang, Shufang Wang

arxiv:2411.15407 v1 · 2024-11-23 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3SVDJSQU6HIZOMNB3DRMWSB2CH}

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	2026-07-05T09:39:34.061131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcaa34ca14f1d19731a1d8e2cb483a11d887ecc73ac7480153ec6e83fdb79d55

Aliases

arxiv: 2411.15407 · arxiv_version: 2411.15407v1 · doi: 10.48550/arxiv.2411.15407 · pith_short_12: 3SVDJSQU6HIZ · pith_short_16: 3SVDJSQU6HIZOMNB · pith_short_8: 3SVDJSQU

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/3SVDJSQU6HIZOMNB3DRMWSB2CH \
  | 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: dcaa34ca14f1d19731a1d8e2cb483a11d887ecc73ac7480153ec6e83fdb79d55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ada838fd8539e001627b7bab6a8cd85992b0736bf69bc167cfe8175aa19e275",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-11-23T01:55:03Z",
    "title_canon_sha256": "16f19201a022bc670e06a59b793a575b7188a5dd6cd58a93e419ac7d60685aef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15407",
    "kind": "arxiv",
    "version": 1
  }
}