Pith Number

pith:M3AXLPNX

pith:2025:M3AXLPNXOWWYK3BR3RZYVNQIJ7

not attested not anchored not stored refs pending

Automorphisms of fine curve graphs of planar surfaces

Arthur Wang, Roberta Shapiro, Rohan Wadhwa, Yuchong Zhang

arxiv:2506.06142 v1 · 2025-06-06 · 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{M3AXLPNXOWWYK3BR3RZYVNQIJ7}

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

1 paper in Pith

Large flats in large subgraphs of fine curve graphs

Receipt and verification

First computed	2026-07-05T11:17:26.452808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66c175bdb775ad856c31dc738ab6084fe0508fbd3dd1b6633191ef3b68943534

Aliases

arxiv: 2506.06142 · arxiv_version: 2506.06142v1 · doi: 10.48550/arxiv.2506.06142 · pith_short_12: M3AXLPNXOWWY · pith_short_16: M3AXLPNXOWWYK3BR · pith_short_8: M3AXLPNX

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/M3AXLPNXOWWYK3BR3RZYVNQIJ7 \
  | 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: 66c175bdb775ad856c31dc738ab6084fe0508fbd3dd1b6633191ef3b68943534

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb430931046387aa685d3dc29f7702d6e224203c89ec8db99f3814daa1e78104",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-06-06T15:00:07Z",
    "title_canon_sha256": "c97d215e688688036140066ceca914f0ee2e757275283a4c67942a5ea5aed63c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06142",
    "kind": "arxiv",
    "version": 1
  }
}