Pith Number

pith:G223M2BA

pith:2025:G223M2BAJHVDT3ZOWT7QE4UU5D

not attested not anchored not stored refs pending

Galois Action and Localization in Number Fields

Jared Kettinger, Jim Coykendall

arxiv:2510.10018 v5 · 2025-10-11 · math.NT · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G223M2BAJHVDT3ZOWT7QE4UU5D}

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	2026-06-03T02:05:42.767894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36b5b6682049ea39ef2eb4ff027294e8ce4b10f91f996fbdee6075c59453029e

Aliases

arxiv: 2510.10018 · arxiv_version: 2510.10018v5 · doi: 10.48550/arxiv.2510.10018 · pith_short_12: G223M2BAJHVD · pith_short_16: G223M2BAJHVDT3ZO · pith_short_8: G223M2BA

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/G223M2BAJHVDT3ZOWT7QE4UU5D \
  | 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: 36b5b6682049ea39ef2eb4ff027294e8ce4b10f91f996fbdee6075c59453029e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5586d87b7810d476cd04b6f803972fceb3373a6bc94d8f172960102874b9d957",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-10-11T04:47:41Z",
    "title_canon_sha256": "0740261099813ce93b72ae0875a635ca93f53de99e87fd6787535159623e2145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.10018",
    "kind": "arxiv",
    "version": 5
  }
}