Pith Number

pith:F64UMHZC

pith:2024:F64UMHZCOEIJ2SKNSCIWBWTKOW

not attested not anchored not stored refs pending

Dimension of self-conformal measures associated to an exponentially separated analytic IFS on $\mathbb{R}$

Ariel Rapaport

arxiv:2412.16753 v2 · 2024-12-21 · math.DS

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F64UMHZCOEIJ2SKNSCIWBWTKOW}

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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

Dimension of diagonal self-affine measures with exponentially separated projections

Receipt and verification

First computed	2026-07-05T09:59:21.656711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb9461f2271109d494d909160da6a75abcf61580905febb0d30a799c5badd58

Aliases

arxiv: 2412.16753 · arxiv_version: 2412.16753v2 · doi: 10.48550/arxiv.2412.16753 · pith_short_12: F64UMHZCOEIJ · pith_short_16: F64UMHZCOEIJ2SKN · pith_short_8: F64UMHZC

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/F64UMHZCOEIJ2SKNSCIWBWTKOW \
  | 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: 2fb9461f2271109d494d909160da6a75abcf61580905febb0d30a799c5badd58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e24353dedd3536f4480d2ffe3cf9f351b75bf6f0a5d5d2eaea505bf68f7a29b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-12-21T20:06:10Z",
    "title_canon_sha256": "7e3065ee850229781bc835ff1c5a206e9f486cef93d60e624e0d596d2b66b9ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16753",
    "kind": "arxiv",
    "version": 2
  }
}