Pith Number

pith:457KD4AS

pith:2026:457KD4ASZ56JKDVF3AWY26Z7DL

not attested not anchored not stored refs pending

Sharp Support Thresholds for Smeariness of Absolutely Continuous Measures on Spheres

Susovan Pal

arxiv:2606.02144 v1 · 2026-06-01 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{457KD4ASZ56JKDVF3AWY26Z7DL}

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	2026-06-02T02:05:07.678649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e77ea1f012cf7c950ea5d82d8d7b3f1afa30c331715edecd1d94cdd388f82e7b

Aliases

arxiv: 2606.02144 · arxiv_version: 2606.02144v1 · doi: 10.48550/arxiv.2606.02144 · pith_short_12: 457KD4ASZ56J · pith_short_16: 457KD4ASZ56JKDVF · pith_short_8: 457KD4AS

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/457KD4ASZ56JKDVF3AWY26Z7DL \
  | 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: e77ea1f012cf7c950ea5d82d8d7b3f1afa30c331715edecd1d94cdd388f82e7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b61d4c2bfd74e236070cf02a6683cf3a77733b42895880888014dd092b4e26d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-01T12:10:26Z",
    "title_canon_sha256": "f1e179a4b82dbc1c8d3aaca08006cd15fb83819c17127c14ed3325603146e2b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02144",
    "kind": "arxiv",
    "version": 1
  }
}