Pith Number

pith:SCVG55MH

pith:2015:SCVG55MHZIJI76G2VX6GGR36ZL

not attested not anchored not stored refs pending

Lebesgue measure of Feigenbaum Julia sets

Artur Avila, Mikhail Lyubich

arxiv:1504.02986 v2 · 2015-04-12 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SCVG55MHZIJI76G2VX6GGR36ZL}

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	2026-05-18T02:18:30.948245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90aa6ef587ca128ff8daadfc63477ecad784c99d9d4da2c2907c6d361d7c4333

Aliases

arxiv: 1504.02986 · arxiv_version: 1504.02986v2 · doi: 10.48550/arxiv.1504.02986 · pith_short_12: SCVG55MHZIJI · pith_short_16: SCVG55MHZIJI76G2 · pith_short_8: SCVG55MH

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/SCVG55MHZIJI76G2VX6GGR36ZL \
  | 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: 90aa6ef587ca128ff8daadfc63477ecad784c99d9d4da2c2907c6d361d7c4333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72063c77ec4309efaff1edf7f867c9650edadff3d4f77dcc2fb827ce4a7a2faf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-12T15:32:46Z",
    "title_canon_sha256": "dd6215dbd4271b95df746f3e28e78ebbf583a84e84c7042da053ac9a0be07528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02986",
    "kind": "arxiv",
    "version": 2
  }
}