Pith Number

pith:FPLF7Y3P

pith:2018:FPLF7Y3PO3HYPW6TUAT5QMRQ2Z

not attested not anchored not stored refs pending

Characteristic Subgroup Lattices and Hopf-Galois Structures

Timothy Kohl

arxiv:1806.06911 v1 · 2018-06-18 · 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{FPLF7Y3PO3HYPW6TUAT5QMRQ2Z}

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	2026-05-18T00:12:58.130815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bd65fe36f76cf87dbd3a027d83230d673f109408cf030c5a4ecf00236da7b42

Aliases

arxiv: 1806.06911 · arxiv_version: 1806.06911v1 · doi: 10.48550/arxiv.1806.06911 · pith_short_12: FPLF7Y3PO3HY · pith_short_16: FPLF7Y3PO3HYPW6T · pith_short_8: FPLF7Y3P

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/FPLF7Y3PO3HYPW6TUAT5QMRQ2Z \
  | 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: 2bd65fe36f76cf87dbd3a027d83230d673f109408cf030c5a4ecf00236da7b42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "596eff18381908bdbde0183c52c811427c08f56432ea285d1154c3a695731e1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-06-18T20:14:50Z",
    "title_canon_sha256": "27233d525f1ffbf0816bd06382efc77f25ade20b44d694dd9bf205bfb6a2e4ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06911",
    "kind": "arxiv",
    "version": 1
  }
}