Pith Number

pith:MRX5YXYK

pith:2015:MRX5YXYK4YQ3S5QL37KTUYRSFW

not attested not anchored not stored refs pending

Differential Galois Groups over Laurent Series Fields

Annette Maier, David Harbater, Julia Hartmann

arxiv:1501.06884 v1 · 2015-01-27 · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRX5YXYK4YQ3S5QL37KTUYRSFW}

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	2026-05-18T00:44:28.528471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

646fdc5f0ae621b9760bdfd53a62322da91a544788fd75bbf8fe9cf7c09afde4

Aliases

arxiv: 1501.06884 · arxiv_version: 1501.06884v1 · doi: 10.48550/arxiv.1501.06884 · pith_short_12: MRX5YXYK4YQ3 · pith_short_16: MRX5YXYK4YQ3S5QL · pith_short_8: MRX5YXYK

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/MRX5YXYK4YQ3S5QL37KTUYRSFW \
  | 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: 646fdc5f0ae621b9760bdfd53a62322da91a544788fd75bbf8fe9cf7c09afde4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "575e546b31bdaa96548aead70699975385c9de62db56c52632164d43edeed9ac",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-01-27T19:56:50Z",
    "title_canon_sha256": "ed68925a72d236c7dd5a3f624dc22eb1d5dc720bbd01a1ae8d83a32dbcbe209e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06884",
    "kind": "arxiv",
    "version": 1
  }
}