Pith Number

pith:FJ5TQ53X

pith:2017:FJ5TQ53XKLDTA5KT42QFLHBJW6

not attested not anchored not stored refs pending

Normality and Short Exact Sequences of Hopf-Galois Structures

Alan Koch, Paul J. Truman, Robert Underwood, Timothy Kohl

arxiv:1708.08402 v1 · 2017-08-28 · 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{FJ5TQ53XKLDTA5KT42QFLHBJW6}

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	2026-05-18T00:36:36.171060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a7b38777752c7307553e6a0559c29b7af408be937c7b046266d6041cf0e54fa

Aliases

arxiv: 1708.08402 · arxiv_version: 1708.08402v1 · doi: 10.48550/arxiv.1708.08402 · pith_short_12: FJ5TQ53XKLDT · pith_short_16: FJ5TQ53XKLDTA5KT · pith_short_8: FJ5TQ53X

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/FJ5TQ53XKLDTA5KT42QFLHBJW6 \
  | 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: 2a7b38777752c7307553e6a0559c29b7af408be937c7b046266d6041cf0e54fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0af232f0ca856273a2292db078c3094d125c3bf9ef1e0c2ac9b4a4436d85af3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-28T16:31:04Z",
    "title_canon_sha256": "39f27b5f02d696e1767ccb965f9e6e55bbe52c940e77551b73c1d805a29f44b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08402",
    "kind": "arxiv",
    "version": 1
  }
}