Pith Number

pith:5GA5EGTE

pith:2015:5GA5EGTEUZPXRE6ILJU6Z3S5WK

not attested not anchored not stored refs pending

Abelian-by-Central Galois Groups of Fields II: Definability of Inertia/Decomposition Groups

Adam Topaz

arxiv:1503.04368 v2 · 2015-03-15 · 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{5GA5EGTEUZPXRE6ILJU6Z3S5WK}

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	2026-05-18T02:19:07.745281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e981d21a64a65f7893c85a69ecee5db2b25eea4f329a11662006fad8eabf0ed2

Aliases

arxiv: 1503.04368 · arxiv_version: 1503.04368v2 · doi: 10.48550/arxiv.1503.04368 · pith_short_12: 5GA5EGTEUZPX · pith_short_16: 5GA5EGTEUZPXRE6I · pith_short_8: 5GA5EGTE

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/5GA5EGTEUZPXRE6ILJU6Z3S5WK \
  | 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: e981d21a64a65f7893c85a69ecee5db2b25eea4f329a11662006fad8eabf0ed2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86dd6c607ef49dd145dc4d3d11992b25cd25d9cce0d265b81a059854da875371",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-15T00:56:52Z",
    "title_canon_sha256": "94eaa06d12ebc5fda41b7875848e56de48c5f48bd05714c863ac3988ba4a13b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04368",
    "kind": "arxiv",
    "version": 2
  }
}