Pith Number

pith:OZAUH7LP

pith:2026:OZAUH7LPR36OEQ7NOSSREG6ZOK

not attested not anchored not stored refs pending

Morse and stable subgroups via the coset intersection complex

Eduardo Mart\'inez-Pedroza, Haoyang He, Takumi Matsuka, Tomohiro Fukaya

arxiv:2603.29158 v2 · 2026-03-31 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZAUH7LPR36OEQ7NOSSREG6ZOK}

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	2026-06-03T01:05:50.078877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

764143fd6f8efce243ed74a5121bd972858a785e8f195e1cc8b27bb172531c18

Aliases

arxiv: 2603.29158 · arxiv_version: 2603.29158v2 · doi: 10.48550/arxiv.2603.29158 · pith_short_12: OZAUH7LPR36O · pith_short_16: OZAUH7LPR36OEQ7N · pith_short_8: OZAUH7LP

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/OZAUH7LPR36OEQ7NOSSREG6ZOK \
  | 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: 764143fd6f8efce243ed74a5121bd972858a785e8f195e1cc8b27bb172531c18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c0726b773ba4e5cb7cdcf8e5fb652ff2e1a5fe7a179e66bac4a8da4e6a2644c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-03-31T02:19:05Z",
    "title_canon_sha256": "3a3264204c09ac1fb55ede21f3cd88cd642b511a1e504f9fd114cd67a0837689"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.29158",
    "kind": "arxiv",
    "version": 2
  }
}