Pith Number

pith:F4UGA2AM

pith:2013:F4UGA2AMFAUPD4DKB3NXKKTWLX

not attested not anchored not stored refs pending

The Hopf Galois property in subfield lattices

Anna Rio, Montserrat Vela, Teresa Crespo

arxiv:1309.5754 v1 · 2013-09-23 · math.NT · 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{F4UGA2AMFAUPD4DKB3NXKKTWLX}

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	2026-05-18T00:46:21.396896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2860680c2828f1f06a0edb752a765dc284439af16d9a52671d031f95fe79f7

Aliases

arxiv: 1309.5754 · arxiv_version: 1309.5754v1 · doi: 10.48550/arxiv.1309.5754 · pith_short_12: F4UGA2AMFAUP · pith_short_16: F4UGA2AMFAUPD4DK · pith_short_8: F4UGA2AM

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/F4UGA2AMFAUPD4DKB3NXKKTWLX \
  | 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: 2f2860680c2828f1f06a0edb752a765dc284439af16d9a52671d031f95fe79f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e01077169a6d91c58a6b4f95064022fbe7687eac7f8eafe8db11a3db9f5224e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-23T10:24:01Z",
    "title_canon_sha256": "bb8d9c79114e8f9c2ee73383407b6b9e98b3956e70238073fd77ad9af9ca2b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5754",
    "kind": "arxiv",
    "version": 1
  }
}