Pith Number

pith:P2UOTEXY

pith:2016:P2UOTEXYYKUTATE5KYKCF2PTCI

not attested not anchored not stored refs pending

Structure of equilibrium states on self-affine sets and strict monotonicity of affinity dimension

Antti K\"aenm\"aki, Ian D. Morris

arxiv:1609.07360 v2 · 2016-09-23 · 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{P2UOTEXYYKUTATE5KYKCF2PTCI}

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	2026-05-18T00:15:38.053007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ea8e992f8c2a9304c9d561422e9f312342eedc8740899621e77993590ef2011

Aliases

arxiv: 1609.07360 · arxiv_version: 1609.07360v2 · doi: 10.48550/arxiv.1609.07360 · pith_short_12: P2UOTEXYYKUT · pith_short_16: P2UOTEXYYKUTATE5 · pith_short_8: P2UOTEXY

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/P2UOTEXYYKUTATE5KYKCF2PTCI \
  | 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: 7ea8e992f8c2a9304c9d561422e9f312342eedc8740899621e77993590ef2011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6093303cbbd8ef17d38ef2f23a6d2e7cc1e433079493e5add2bcacca96b71636",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-23T13:36:13Z",
    "title_canon_sha256": "c38aaa7bf30c199df6f260df2dc356c3623c89f2a6acee5a5c49c510f039edd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07360",
    "kind": "arxiv",
    "version": 2
  }
}