Pith Number

pith:ULZIYUQH

pith:2024:ULZIYUQHHMHDK2JKSH6GUBTFKE

not attested not anchored not stored refs pending

A big mapping class acting parabolically on the nonseparating curve graph

Federica Fanoni, Sebastian Hensel

arxiv:2409.05647 v2 · 2024-09-09 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULZIYUQHHMHDK2JKSH6GUBTFKE}

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.

Cited by

2 papers in Pith

Fine projection complex and subsurface homeomorphisms with positive stable commutator length

Receipt and verification

First computed	2026-05-18T03:09:46.580558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2f28c52073b0e35692a91fc6a0665513ebc85a97853f18db1d5c0b1be6ec66b

Aliases

arxiv: 2409.05647 · arxiv_version: 2409.05647v2 · doi: 10.48550/arxiv.2409.05647 · pith_short_12: ULZIYUQHHMHD · pith_short_16: ULZIYUQHHMHDK2JK · pith_short_8: ULZIYUQH

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/ULZIYUQHHMHDK2JKSH6GUBTFKE \
  | 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: a2f28c52073b0e35692a91fc6a0665513ebc85a97853f18db1d5c0b1be6ec66b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5429275df22d232be51319daa11c0393bf37a5cc7375f55536938f0c0f3fe0e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-09-09T14:14:38Z",
    "title_canon_sha256": "87195d8fe3cae5c005b905ddc22c92a27a37fee936f22b055e71dd48d5caecf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.05647",
    "kind": "arxiv",
    "version": 2
  }
}