Pith Number

pith:LPEJZZLW

pith:2018:LPEJZZLWZMK3SXAXMVAIPNADLV

not attested not anchored not stored refs pending

Lower Assouad Dimension of Measures and Regularity

Kathryn E. Hare, Sascha Troscheit

arxiv:1812.05573 v2 · 2018-12-13 · math.MG · 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{LPEJZZLWZMK3SXAXMVAIPNADLV}

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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

Measures with specified support and arbitrary Assouad dimensions

Receipt and verification

First computed	2026-07-05T02:53:49.441127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bc89ce576cb15b95c17654087b4035d61d87bec06b3bdae79c41965cd37108c

Aliases

arxiv: 1812.05573 · arxiv_version: 1812.05573v2 · doi: 10.48550/arxiv.1812.05573 · pith_short_12: LPEJZZLWZMK3 · pith_short_16: LPEJZZLWZMK3SXAX · pith_short_8: LPEJZZLW

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/LPEJZZLWZMK3SXAXMVAIPNADLV \
  | 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: 5bc89ce576cb15b95c17654087b4035d61d87bec06b3bdae79c41965cd37108c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65706bc902af00b233b1ff3233479d3c307c9ceb46bbd206973e064a6fa61a51",
    "cross_cats_sorted": [
      "math.CA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-12-13T18:47:00Z",
    "title_canon_sha256": "a5a5d30568d4f358b15db94f9a59e986e0347fe4288f63aa8a87f2198a9b1604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05573",
    "kind": "arxiv",
    "version": 2
  }
}