Pith Number

pith:YOS2J3UO

pith:2016:YOS2J3UOAADC7HQHCBNBH5U35J

not attested not anchored not stored refs pending

Commuting Hopf-Galois Structures on a Separable Extension

Paul J. Truman

arxiv:1610.01335 v3 · 2016-10-05 · 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{YOS2J3UOAADC7HQHCBNBH5U35J}

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	2026-05-18T00:47:49.795664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3a5a4ee8e00062f9e07105a13f69bea4f9e4434663b768e2cc060b5e2b31b89

Aliases

arxiv: 1610.01335 · arxiv_version: 1610.01335v3 · doi: 10.48550/arxiv.1610.01335 · pith_short_12: YOS2J3UOAADC · pith_short_16: YOS2J3UOAADC7HQH · pith_short_8: YOS2J3UO

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/YOS2J3UOAADC7HQHCBNBH5U35J \
  | 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: c3a5a4ee8e00062f9e07105a13f69bea4f9e4434663b768e2cc060b5e2b31b89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e2a789a3191dad8a11b5fa7648a136bd42acc554ee68b15420ff95c4c926d26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-05T09:59:25Z",
    "title_canon_sha256": "3b09210debcbf7e89ca3374628cf97843b17115e29d25ec591bb56d9def0f802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01335",
    "kind": "arxiv",
    "version": 3
  }
}