Pith Number

pith:PX7OGHVZ

pith:2017:PX7OGHVZOHOSPXTJ56PFK7U3YM

not attested not anchored not stored refs pending

Asymptotic local uniformity of the quantization error for Ahlfors-David probability measures

Sanguo Zhu

arxiv:1708.07657 v3 · 2017-08-25 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PX7OGHVZOHOSPXTJ56PFK7U3YM}

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	2026-05-18T00:22:39.622879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dfee31eb971dd27de69ef9e557e9bc3007055a6757b93405ece25cdc76d18d8

Aliases

arxiv: 1708.07657 · arxiv_version: 1708.07657v3 · doi: 10.48550/arxiv.1708.07657 · pith_short_12: PX7OGHVZOHOS · pith_short_16: PX7OGHVZOHOSPXTJ · pith_short_8: PX7OGHVZ

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/PX7OGHVZOHOSPXTJ56PFK7U3YM \
  | 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: 7dfee31eb971dd27de69ef9e557e9bc3007055a6757b93405ece25cdc76d18d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "162e58d8986be7f726a25655a0f2610166da1717e8261000e8ea78baa60c4b40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-08-25T09:07:46Z",
    "title_canon_sha256": "40f588d732cb90588a3075a71d872b1751937672e6ab632c5a96c4649707525c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07657",
    "kind": "arxiv",
    "version": 3
  }
}