Pith Number

pith:JLPYBFD3

pith:2019:JLPYBFD3BXOTX2NEENUSM3JSNB

not attested not anchored not stored refs pending

Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts

Matthew Emerton, Toby Gee

arxiv:1908.07185 v4 · 2019-08-20 · 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{JLPYBFD3BXOTX2NEENUSM3JSNB}

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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.

Cited by

1 paper in Pith

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations

Receipt and verification

First computed	2026-07-05T04:47:37.578500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4adf80947b0ddd3be9a42369266d32686a70cc18a57d3f89323bedee58e229c9

Aliases

arxiv: 1908.07185 · arxiv_version: 1908.07185v4 · doi: 10.48550/arxiv.1908.07185 · pith_short_12: JLPYBFD3BXOT · pith_short_16: JLPYBFD3BXOTX2NE · pith_short_8: JLPYBFD3

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/JLPYBFD3BXOTX2NEENUSM3JSNB \
  | 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: 4adf80947b0ddd3be9a42369266d32686a70cc18a57d3f89323bedee58e229c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dd1b5acdd7b85a79c9dbbb6c8e1a0295fb5f10dfc194b59f93b5597cd862b51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-20T06:28:26Z",
    "title_canon_sha256": "0c7e0a75187408a3698ead5c164f7d0038c624a4cd6797366c73336f8987d692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07185",
    "kind": "arxiv",
    "version": 4
  }
}