Pith Number

pith:CLN3JBPA

pith:2018:CLN3JBPAI54ZWFWVXCJNFP2ZFF

not attested not anchored not stored refs pending

Compatible systems of Galois representations associated to the exceptional group E6

Brandon Levin, Frank Calegari, George Boxer, Keerthi Madapusi Pera, Matthew Emerton, Stefan Patrikis

arxiv:1805.09777 v2 · 2018-05-24 · 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{CLN3JBPAI54ZWFWVXCJNFP2ZFF}

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	2026-05-18T00:14:53.087780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12dbb485e047799b16d5b892d2bf592975949337ac9d8b23fb06002927e3b52b

Aliases

arxiv: 1805.09777 · arxiv_version: 1805.09777v2 · doi: 10.48550/arxiv.1805.09777 · pith_short_12: CLN3JBPAI54Z · pith_short_16: CLN3JBPAI54ZWFWV · pith_short_8: CLN3JBPA

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/CLN3JBPAI54ZWFWVXCJNFP2ZFF \
  | 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: 12dbb485e047799b16d5b892d2bf592975949337ac9d8b23fb06002927e3b52b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5d41609546b1a51614d7bb9bc718a58e13b7d55bfd034f782b7c28033754f0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-24T16:55:50Z",
    "title_canon_sha256": "0ba79720d4f5c9fa19c9cf0f3cb8e517fe5369a9e877ed2077b913a026533712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09777",
    "kind": "arxiv",
    "version": 2
  }
}