Pith Number

pith:MXNNFXGZ

pith:2018:MXNNFXGZCIFCUDV4IHZXSSEN4Y

not attested not anchored not stored refs pending

Galois extensions and a Conjecture of Ogg

Krzysztof Klosin, Mihran Papikian

arxiv:1812.05993 v2 · 2018-12-14 · 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{MXNNFXGZCIFCUDV4IHZXSSEN4Y}

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	2026-05-17T23:55:42.367419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65dad2dcd9120a2a0ebc41f379488de60d14a04d6f08013e07d16e0f36b6f610

Aliases

arxiv: 1812.05993 · arxiv_version: 1812.05993v2 · doi: 10.48550/arxiv.1812.05993 · pith_short_12: MXNNFXGZCIFC · pith_short_16: MXNNFXGZCIFCUDV4 · pith_short_8: MXNNFXGZ

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/MXNNFXGZCIFCUDV4IHZXSSEN4Y \
  | 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: 65dad2dcd9120a2a0ebc41f379488de60d14a04d6f08013e07d16e0f36b6f610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94d9d30d5e4fbdf9f5ebccf62fb4046a261acc37f41e3e20dc02537877b32e88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-14T15:54:06Z",
    "title_canon_sha256": "a9376d18d96e2dffa4608d38feec4ed5744ae730b9584a4d28f9378ea9e6b81e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05993",
    "kind": "arxiv",
    "version": 2
  }
}