Pith Number

pith:ZXOPKCSN

pith:2015:ZXOPKCSNJOGYGQYUHDNCAZADVD

not attested not anchored not stored refs pending

On differential Galois groups of strongly normal extensions

Fran\c{c}oise Point, Quentin Brouette

arxiv:1512.05998 v2 · 2015-12-18 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXOPKCSNJOGYGQYUHDNCAZADVD}

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	2026-05-18T00:44:33.899014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cddcf50a4d4b8d83431438da206403a8fbf4ff03e162fe138782cbef6d06b7fe

Aliases

arxiv: 1512.05998 · arxiv_version: 1512.05998v2 · doi: 10.48550/arxiv.1512.05998 · pith_short_12: ZXOPKCSNJOGY · pith_short_16: ZXOPKCSNJOGYGQYU · pith_short_8: ZXOPKCSN

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/ZXOPKCSNJOGYGQYUHDNCAZADVD \
  | 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: cddcf50a4d4b8d83431438da206403a8fbf4ff03e162fe138782cbef6d06b7fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b29926d5df71dda4a07ea511c681771f2c3c7659dc59cadae0f2538f888d0ebc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-18T15:44:02Z",
    "title_canon_sha256": "aa5a1e95cb46374ccf34063cec80c0e93ca13e488fe83a702aa1e7282340fd7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05998",
    "kind": "arxiv",
    "version": 2
  }
}