Pith Number

pith:DK5VYV6J

pith:2016:DK5VYV6JNSOFNQV7MZKDF2I5TC

not attested not anchored not stored refs pending

On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems

Ian D. Morris, Pablo Shmerkin

arxiv:1602.08789 v3 · 2016-02-29 · math.DS · 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{DK5VYV6JNSOFNQV7MZKDF2I5TC}

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	2026-05-17T23:51:15.077598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1abb5c57c96c9c56c2bf665432e91d988b60effba0f21e9fd4a5d8783308188f

Aliases

arxiv: 1602.08789 · arxiv_version: 1602.08789v3 · doi: 10.48550/arxiv.1602.08789 · pith_short_12: DK5VYV6JNSOF · pith_short_16: DK5VYV6JNSOFNQV7 · pith_short_8: DK5VYV6J

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/DK5VYV6JNSOFNQV7MZKDF2I5TC \
  | 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: 1abb5c57c96c9c56c2bf665432e91d988b60effba0f21e9fd4a5d8783308188f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8e6fe2f9906c1e216b57042dba019713b4e1afd9373d94f693c584f9b4bb1d4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-02-29T00:38:40Z",
    "title_canon_sha256": "203e7c3b92d5ddf5cd2078febb3ea6a764b6d544ac058e7c747ae188836e4cae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08789",
    "kind": "arxiv",
    "version": 3
  }
}