Pith Number

pith:EFZIN2JO

pith:2013:EFZIN2JO2YCKOLTVIMXKXOO7IU

not attested not anchored not stored refs pending

Serre weights for locally reducible two-dimensional Galois representations

David Savitt, Fred Diamond

arxiv:1304.7649 v2 · 2013-04-29 · 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{EFZIN2JO2YCKOLTVIMXKXOO7IU}

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	2026-05-18T01:55:43.438442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

217286e92ed604a72e75432eabb9df451b70e9e33167254db9c0388937126b2e

Aliases

arxiv: 1304.7649 · arxiv_version: 1304.7649v2 · doi: 10.48550/arxiv.1304.7649 · pith_short_12: EFZIN2JO2YCK · pith_short_16: EFZIN2JO2YCKOLTV · pith_short_8: EFZIN2JO

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/EFZIN2JO2YCKOLTVIMXKXOO7IU \
  | 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: 217286e92ed604a72e75432eabb9df451b70e9e33167254db9c0388937126b2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f12a675fca899bdf0e72fb8cea86902216ea3d4ac10e854380132dbe76337b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-29T12:53:49Z",
    "title_canon_sha256": "4db818e0eb19dc6c41c4e6fc92e341f7e5a2a71ec1d3c26f4609119b662183f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7649",
    "kind": "arxiv",
    "version": 2
  }
}