Pith Number

pith:Q2UL7SBK

pith:2012:Q2UL7SBKKZC7XEJ6IFO46AOL3I

not attested not anchored not stored refs pending

Explicit integral Galois module structure of weakly ramified extensions of local fields

Henri Johnston

arxiv:1204.2133 v4 · 2012-04-10 · 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{Q2UL7SBKKZC7XEJ6IFO46AOL3I}

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	2026-05-18T02:42:46.820345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86a8bfc82a5645fb913e415dcf01cbda20bfa24095ff2f0b632fcb6920e213d5

Aliases

arxiv: 1204.2133 · arxiv_version: 1204.2133v4 · doi: 10.48550/arxiv.1204.2133 · pith_short_12: Q2UL7SBKKZC7 · pith_short_16: Q2UL7SBKKZC7XEJ6 · pith_short_8: Q2UL7SBK

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/Q2UL7SBKKZC7XEJ6IFO46AOL3I \
  | 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: 86a8bfc82a5645fb913e415dcf01cbda20bfa24095ff2f0b632fcb6920e213d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0bd20e583610c85a70922c6f09c802368eafef00833c8022184719caa60540c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-10T13:08:19Z",
    "title_canon_sha256": "5f00307bc70703237b155b65bc31144034a79813c08e0d3789d63f4425b56837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2133",
    "kind": "arxiv",
    "version": 4
  }
}