Pith Number

pith:6IBT3KM6

pith:2026:6IBT3KM66IKVNI5TUNHN2ZVAHF

not attested not anchored not stored refs pending

Center-freeness of finite-step solvable groups arising from anabelian geometry

Naganori Yamaguchi

arxiv:2601.07112 v4 · 2026-01-12 · math.GR · math.AG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IBT3KM66IKVNI5TUNHN2ZVAHF}

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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

Anabelian geometry for Deligne-Mumford curves

Receipt and verification

First computed	2026-05-26T01:03:22.094847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2033da99ef21556a3b3a34edd66a0396e5b052fec5929c9a794e7320f0e6760

Aliases

arxiv: 2601.07112 · arxiv_version: 2601.07112v4 · doi: 10.48550/arxiv.2601.07112 · pith_short_12: 6IBT3KM66IKV · pith_short_16: 6IBT3KM66IKVNI5T · pith_short_8: 6IBT3KM6

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/6IBT3KM66IKVNI5TUNHN2ZVAHF \
  | 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: f2033da99ef21556a3b3a34edd66a0396e5b052fec5929c9a794e7320f0e6760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0acd4a58635263b9577502b528e92bb913b0d9cadd328a7e2f917037c3bfd4e0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-01-12T00:36:11Z",
    "title_canon_sha256": "6c7d5be9f6bd17742f7a36db33375a3079f59175b608bfa7f84d88872893e4dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.07112",
    "kind": "arxiv",
    "version": 4
  }
}