Pith Number

pith:2UMSEPGA

pith:2025:2UMSEPGAKCBCUSDPNOQPEHBMCJ

not attested not anchored not stored refs pending

On Groups of Linear Fractional Transformations Stabilizing Finite Sets of Four Elements

Patrick Nyadjo Fonga

arxiv:2506.00729 v2 · 2025-05-31 · math.NT · 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{2UMSEPGAKCBCUSDPNOQPEHBMCJ}

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	2026-07-05T11:17:24.511974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d519223cc050822a486f6ba0f21c2c125aa1cfd906e4c20f89fd6dcdbb754db4

Aliases

arxiv: 2506.00729 · arxiv_version: 2506.00729v2 · doi: 10.48550/arxiv.2506.00729 · pith_short_12: 2UMSEPGAKCBC · pith_short_16: 2UMSEPGAKCBCUSDP · pith_short_8: 2UMSEPGA

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/2UMSEPGAKCBCUSDPNOQPEHBMCJ \
  | 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: d519223cc050822a486f6ba0f21c2c125aa1cfd906e4c20f89fd6dcdbb754db4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09432e28187e2bea30da7d3811d3659f9f7c243b9aad6b8189c49fc653387910",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-31T22:04:58Z",
    "title_canon_sha256": "395ba17cc7c807c2e7d7972933761d6d3a284ea3ce23e1b5bf54c4360e8b39be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00729",
    "kind": "arxiv",
    "version": 2
  }
}