Pith Number

pith:XDMACOHZ

pith:2026:XDMACOHZJ53XCAHNX2QXCYDRC6

not attested not anchored not stored refs pending

Matings between compositions of rational maps and free products of finite cyclic groups

Luna Lomonaco, Miguel Ratis Laude, Shaun Bullett

arxiv:2607.14364 v1 · 2026-07-15 · 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{XDMACOHZJ53XCAHNX2QXCYDRC6}

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	2026-07-17T00:21:08.009474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8d80138f94f777100edbea17160711799a9dbe8c0be69cc32f9d801fb382a33

Aliases

arxiv: 2607.14364 · arxiv_version: 2607.14364v1 · doi: 10.48550/arxiv.2607.14364 · pith_short_12: XDMACOHZJ53X · pith_short_16: XDMACOHZJ53XCAHN · pith_short_8: XDMACOHZ

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/XDMACOHZJ53XCAHNX2QXCYDRC6 \
  | 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: b8d80138f94f777100edbea17160711799a9dbe8c0be69cc32f9d801fb382a33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a41d1bde9a9dda4b72bdfb3c0fd8049912181795c1eccce99fbfa5544832a482",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-15T21:03:50Z",
    "title_canon_sha256": "2e07464866ae373ead7d813ba71b50aec6318ed9144b9e5b07c43879685b8323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14364",
    "kind": "arxiv",
    "version": 1
  }
}