Pith Number

pith:5TJA5DT5

pith:2016:5TJA5DT5EHW36TLHF6B36R6VKC

not attested not anchored not stored refs pending

The arc length of a random lemniscate

Erik Lundberg, Koushik Ramachandran

arxiv:1610.09791 v2 · 2016-10-31 · math.PR · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TJA5DT5EHW36TLHF6B36R6VKC}

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	2026-05-18T00:30:46.687942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecd20e8e7d21edbf4d672f83bf47d5508a76ce49a5c3a3abd4da52e65d554afc

Aliases

arxiv: 1610.09791 · arxiv_version: 1610.09791v2 · doi: 10.48550/arxiv.1610.09791 · pith_short_12: 5TJA5DT5EHW3 · pith_short_16: 5TJA5DT5EHW36TLH · pith_short_8: 5TJA5DT5

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/5TJA5DT5EHW36TLHF6B36R6VKC \
  | 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: ecd20e8e7d21edbf4d672f83bf47d5508a76ce49a5c3a3abd4da52e65d554afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4393aa9863e234681f364b635ed1a36890740b3e215950878ad24545304e7a4e",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-31T05:43:26Z",
    "title_canon_sha256": "78a17776332399592fd3bd87c1a43b80b80c3c16627c40102094577824b989c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09791",
    "kind": "arxiv",
    "version": 2
  }
}