Pith Number

pith:6MKCQ4WT

pith:2016:6MKCQ4WT5Z6I7WXC42EECBPOLZ

not attested not anchored not stored refs pending

A multifractal analysis for cuspidal windings on hyperbolic surfaces

Johannes Jaerisch, Marc Kesseb\"ohmer, Sara Munday

arxiv:1610.05827 v2 · 2016-10-18 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MKCQ4WT5Z6I7WXC42EECBPOLZ}

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	2026-05-18T00:18:09.875056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3142872d3ee7c8fdae2e6884105ee5e72990a61df9f40edb644809f356c47f1

Aliases

arxiv: 1610.05827 · arxiv_version: 1610.05827v2 · doi: 10.48550/arxiv.1610.05827 · pith_short_12: 6MKCQ4WT5Z6I · pith_short_16: 6MKCQ4WT5Z6I7WXC · pith_short_8: 6MKCQ4WT

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/6MKCQ4WT5Z6I7WXC42EECBPOLZ \
  | 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: f3142872d3ee7c8fdae2e6884105ee5e72990a61df9f40edb644809f356c47f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db3a27fae833b1c0313e1306101ca1f5b3cc0783234db809866008d7713471c8",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-18T23:56:21Z",
    "title_canon_sha256": "2e804459504e7a8503dbc55612c637dac852817f5dad8446c351c09c25f6a689"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05827",
    "kind": "arxiv",
    "version": 2
  }
}