Pith Number

pith:J4DR3NAT

pith:2018:J4DR3NAT6IVFVSMNLGARTYLFTT

not attested not anchored not stored refs pending

On the density of supercuspidal points of fixed regular weight in local deformation rings and global Hecke algebras

Matthew Emerton, Vytautas Paskunas

arxiv:1809.06598 v3 · 2018-09-18 · 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{J4DR3NAT6IVFVSMNLGARTYLFTT}

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.

Cited by

1 paper in Pith

On the modularity of 2-adic potentially semi-stable deformation rings

Receipt and verification

First computed	2026-07-05T00:42:51.658475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f071db413f22a5ac98d598119e1659ccd930b7ee9f63cef0fd485270ba68c5d

Aliases

arxiv: 1809.06598 · arxiv_version: 1809.06598v3 · doi: 10.48550/arxiv.1809.06598 · pith_short_12: J4DR3NAT6IVF · pith_short_16: J4DR3NAT6IVFVSMN · pith_short_8: J4DR3NAT

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/J4DR3NAT6IVFVSMNLGARTYLFTT \
  | 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: 4f071db413f22a5ac98d598119e1659ccd930b7ee9f63cef0fd485270ba68c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64af3f66164bb391c6bc700982845edc9857905725e78a251aae94eb18b1abff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-18T08:55:49Z",
    "title_canon_sha256": "8d07cb77ca9c6f6e114ac0e015fe4b9a3d9bde7b729ec10c6e9c6730189f245a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06598",
    "kind": "arxiv",
    "version": 3
  }
}