Pith Number

pith:Q7LAPA2O

pith:2017:Q7LAPA2OCLZICBHUOYQAGYAL3F

not attested not anchored not stored refs pending

Upper Conical density results for general measures on $\mathbb{R}^n$

Antti K\"aenm\"aki, Marianna Cs\"ornyei, Tapio Rajala, Ville Suomala

arxiv:1701.08602 v1 · 2017-01-30 · 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{Q7LAPA2OCLZICBHUOYQAGYAL3F}

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	2026-05-18T00:51:53.560916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d607834e12f28104f4762003600bd969498444523f713b7ac40aaaab90d64f

Aliases

arxiv: 1701.08602 · arxiv_version: 1701.08602v1 · doi: 10.48550/arxiv.1701.08602 · pith_short_12: Q7LAPA2OCLZI · pith_short_16: Q7LAPA2OCLZICBHU · pith_short_8: Q7LAPA2O

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/Q7LAPA2OCLZICBHUOYQAGYAL3F \
  | 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: 87d607834e12f28104f4762003600bd969498444523f713b7ac40aaaab90d64f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "240edc819b1e78e80171e447171e7acdbfaa7f5dc86324e24ef8f0df9213b5b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-01-30T14:11:47Z",
    "title_canon_sha256": "5ca30bfaf22c3ce38224c2a847362f17fe29f03169eac920ccea8dd3eee58e6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08602",
    "kind": "arxiv",
    "version": 1
  }
}