Pith Number

pith:7DZOSHLM

pith:2018:7DZOSHLMHIMN4XDMZXVGTYH4SW

not attested not anchored not stored refs pending

Modularity of residual Galois extensions and the Eisenstein ideal

Krzysztof Klosin, Tobias Berger

arxiv:1810.07808 v1 · 2018-10-17 · 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{7DZOSHLMHIMN4XDMZXVGTYH4SW}

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	2026-05-18T00:02:54.149063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8f2e91d6c3a18de5c6ccdea69e0fc95ba2173cfb7a6dfb4a12751d7170432e2

Aliases

arxiv: 1810.07808 · arxiv_version: 1810.07808v1 · doi: 10.48550/arxiv.1810.07808 · pith_short_12: 7DZOSHLMHIMN · pith_short_16: 7DZOSHLMHIMN4XDM · pith_short_8: 7DZOSHLM

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/7DZOSHLMHIMN4XDMZXVGTYH4SW \
  | 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: f8f2e91d6c3a18de5c6ccdea69e0fc95ba2173cfb7a6dfb4a12751d7170432e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d4e93fd743670a835a6624d8f331e91d1800ad2d7955b544c775b81d88675ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-17T21:16:51Z",
    "title_canon_sha256": "63fcd16d27ee27dda48403b4a9b7f3caa7cd20734b3d563ec7b90763e104143a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07808",
    "kind": "arxiv",
    "version": 1
  }
}