Pith Number

pith:Z4EZ2GF5

pith:2020:Z4EZ2GF5UINF3YKXCAOT5NVLJX

not attested not anchored not stored refs pending

Extremal distance and conformal radius of a CLE_4 loop

Avelio Sep\'ulveda, Juhan Aru, Titus Lupu

arxiv:2004.13570 v2 · 2020-04-28 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4EZ2GF5UINF3YKXCAOT5NVLJX}

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	2026-07-05T04:52:22.302448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf099d18bda21a5de157101d3eb6ab4df29bf1907c09075701e068cdc583e1dd

Aliases

arxiv: 2004.13570 · arxiv_version: 2004.13570v2 · doi: 10.48550/arxiv.2004.13570 · pith_short_12: Z4EZ2GF5UINF · pith_short_16: Z4EZ2GF5UINF3YKX · pith_short_8: Z4EZ2GF5

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/Z4EZ2GF5UINF3YKXCAOT5NVLJX \
  | 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: cf099d18bda21a5de157101d3eb6ab4df29bf1907c09075701e068cdc583e1dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71329ce69fdbbafe95cf136651045131b3c6bcfddad25e31aacd6370522a205f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-04-28T14:54:51Z",
    "title_canon_sha256": "7cfade3c394c5ebd7ed1d3b82866c7351a13080288b71c623af6467db471aa55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.13570",
    "kind": "arxiv",
    "version": 2
  }
}