Pith Number

pith:YANJMV7L

pith:2011:YANJMV7LNPVHXNN5AABWIZFVTN

not attested not anchored not stored refs pending

Dimension, entropy, and the local distribution of measures

Pablo Shmerkin, Tuomas Sahlsten, Ville Suomala

arxiv:1110.6011 v2 · 2011-10-27 · math.CA · 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{YANJMV7LNPVHXNN5AABWIZFVTN}

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	2026-05-18T02:28:12.408214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c01a9657eb6bea7bb5bd00036464b59b738bfcdbe26772cda554d11a51625c7b

Aliases

arxiv: 1110.6011 · arxiv_version: 1110.6011v2 · doi: 10.48550/arxiv.1110.6011 · pith_short_12: YANJMV7LNPVH · pith_short_16: YANJMV7LNPVHXNN5 · pith_short_8: YANJMV7L

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/YANJMV7LNPVHXNN5AABWIZFVTN \
  | 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: c01a9657eb6bea7bb5bd00036464b59b738bfcdbe26772cda554d11a51625c7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "596bd2dbc0be302adb9245508e78ad6976d9189e1cf66dc450918f7fa7a1c6d6",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-27T08:46:32Z",
    "title_canon_sha256": "5b534003b4b91482656ae9b25e64f38d87ac927980762cc75b646fcbd4a1aff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6011",
    "kind": "arxiv",
    "version": 2
  }
}