Pith Number

pith:5ZMBQWPZ

pith:2023:5ZMBQWPZ23ILWMAGHAK6TOFTAC

not attested not anchored not stored refs pending

Tangents of invariant sets

Alex Rutar, Antti K\"aenm\"aki

arxiv:2309.11971 v2 · 2023-09-21 · math.DS · math.CA · 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{5ZMBQWPZ23ILWMAGHAK6TOFTAC}

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

2 papers in Pith

Point-dimension theory (part II): The point-cross dimension

On the Marstrand projection theorem for the Assouad spectrum

Receipt and verification

First computed	2026-07-05T09:24:31.264126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee581859f9d6d0bb30063815e9b8b3009e3f23ebe6d9a7dbff1408a08a37f13d

Aliases

arxiv: 2309.11971 · arxiv_version: 2309.11971v2 · doi: 10.48550/arxiv.2309.11971 · pith_short_12: 5ZMBQWPZ23IL · pith_short_16: 5ZMBQWPZ23ILWMAG · pith_short_8: 5ZMBQWPZ

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/5ZMBQWPZ23ILWMAGHAK6TOFTAC \
  | 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: ee581859f9d6d0bb30063815e9b8b3009e3f23ebe6d9a7dbff1408a08a37f13d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48e7e80b26314ce2808ecf7dc724eaba80d85e0ff7b4dfab47e623e484377100",
    "cross_cats_sorted": [
      "math.CA",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-09-21T11:05:41Z",
    "title_canon_sha256": "a5e97885e10bfd9161ca94f0e0e3270333979b8ad1ecfcd84cbbe19b810baa4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.11971",
    "kind": "arxiv",
    "version": 2
  }
}