Pith Number

pith:ZQUIUPDN

pith:2018:ZQUIUPDN5PB3VC4NXV7E2JE7B4

not attested not anchored not stored refs pending

From Gauss to Kolmogorov: Localized Measures of Complexity for Ellipses

Billy Fang, Martin J. Wainwright, Yuting Wei

arxiv:1803.07763 v1 · 2018-03-21 · math.ST · cs.IT · math.IT · 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{ZQUIUPDN5PB3VC4NXV7E2JE7B4}

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	2026-05-18T00:20:29.048420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc288a3c6debc3ba8b8dbd7e4d249f0f2e96387ac36b017b4dc8d76588365b45

Aliases

arxiv: 1803.07763 · arxiv_version: 1803.07763v1 · doi: 10.48550/arxiv.1803.07763 · pith_short_12: ZQUIUPDN5PB3 · pith_short_16: ZQUIUPDN5PB3VC4N · pith_short_8: ZQUIUPDN

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/ZQUIUPDN5PB3VC4NXV7E2JE7B4 \
  | 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: cc288a3c6debc3ba8b8dbd7e4d249f0f2e96387ac36b017b4dc8d76588365b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33eaf28fb467ab3c088cbf7d79e36711fe2eafc5e858db528ce1c3fb47513216",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-03-21T06:27:03Z",
    "title_canon_sha256": "baf3544f8284ee9f51427660ad797d4c3344f211cf93d90c008a8862acbc970f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07763",
    "kind": "arxiv",
    "version": 1
  }
}