Pith Number

pith:ZSZJ5K5V

pith:2019:ZSZJ5K5VQHLZ2IBUGGQRETLFFZ

not attested not anchored not stored refs pending

Enumerating Dihedral Hopf-Galois Structures Acting on Dihedral Extensions

Timothy Kohl

arxiv:1907.03844 v1 · 2019-07-08 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSZJ5K5VQHLZ2IBUGGQRETLFFZ}

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	2026-05-17T23:41:06.623361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccb29eabb581d79d203431a1124d652e493850e17af1263081ebdf3d1f9255c2

Aliases

arxiv: 1907.03844 · arxiv_version: 1907.03844v1 · doi: 10.48550/arxiv.1907.03844 · pith_short_12: ZSZJ5K5VQHLZ · pith_short_16: ZSZJ5K5VQHLZ2IBU · pith_short_8: ZSZJ5K5V

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/ZSZJ5K5VQHLZ2IBUGGQRETLFFZ \
  | 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: ccb29eabb581d79d203431a1124d652e493850e17af1263081ebdf3d1f9255c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17968895b803071bf51e9bbc304944832e8b4562d4b88124b07dba3312f9384a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-07-08T20:10:04Z",
    "title_canon_sha256": "c9928871e4b2ba08246a04356cda08c2c58c382e390fd2e36dae9271324f37f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03844",
    "kind": "arxiv",
    "version": 1
  }
}