Pith Number

pith:SIWE6BQY

pith:2016:SIWE6BQYAKQMKXD73YMSHI4QEL

not attested not anchored not stored refs pending

Serre weights and wild ramification in two-dimensional Galois representations

David P. Roberts, Fred Diamond, Lassina Dembele

arxiv:1603.07708 v2 · 2016-03-24 · 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{SIWE6BQYAKQMKXD73YMSHI4QEL}

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	2026-05-18T00:28:19.006443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

922c4f061802a0c55c7fde1923a39022c7985e822063dc0e2c4806c0419b3890

Aliases

arxiv: 1603.07708 · arxiv_version: 1603.07708v2 · doi: 10.48550/arxiv.1603.07708 · pith_short_12: SIWE6BQYAKQM · pith_short_16: SIWE6BQYAKQMKXD7 · pith_short_8: SIWE6BQY

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/SIWE6BQYAKQMKXD73YMSHI4QEL \
  | 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: 922c4f061802a0c55c7fde1923a39022c7985e822063dc0e2c4806c0419b3890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "186a849529b882945721b5724d66004c82568b336130372be67155b2ffa42c1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-24T18:59:46Z",
    "title_canon_sha256": "53f2ddf36bfd1aafadfd6e79e6768e5c3fadaeadea73b4ce4e0823e27a68b3be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07708",
    "kind": "arxiv",
    "version": 2
  }
}