Pith Number

pith:TJ6PIPJL

pith:2025:TJ6PIPJLFNQRPJXSU2UPHQLZL4

not attested not anchored not stored refs pending

Bases of associated Galois modules in general wildly ramified extensions and in elementary abelian extensions of degree $p^2$

Kirill S. Ladny, Konstantin I. Pimenov, Mikhail V. Bondarko

arxiv:2511.20634 v2 · 2025-11-25 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJ6PIPJLFNQRPJXSU2UPHQLZL4}

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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.

Receipt and verification

First computed	2026-05-22T01:03:50.927458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a7cf43d2b2b6117a6f2a6a8f3c1795f27d9dc64697a96d785c239c6f7b986f8

Aliases

arxiv: 2511.20634 · arxiv_version: 2511.20634v2 · doi: 10.48550/arxiv.2511.20634 · pith_short_12: TJ6PIPJLFNQR · pith_short_16: TJ6PIPJLFNQRPJXS · pith_short_8: TJ6PIPJL

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/TJ6PIPJLFNQRPJXSU2UPHQLZL4 \
  | 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: 9a7cf43d2b2b6117a6f2a6a8f3c1795f27d9dc64697a96d785c239c6f7b986f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32e496cd14cb8d20a6640f266fa911f38463bd9bd206a40be3842975f606f94f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-11-25T18:52:56Z",
    "title_canon_sha256": "a197456136d0f934a46da149a86d58d4636b803ec3624a89f71ebcf7c2c86f12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.20634",
    "kind": "arxiv",
    "version": 2
  }
}