Pith Number

pith:WWGVXBN3

pith:2022:WWGVXBN3GQRNF5X3DSN2ERNVCG

not attested not anchored not stored refs pending

Local geometry of moduli stacks of two-dimensional Galois representations

Ana Caraiani, David Savitt, Matthew Emerton, Toby Gee

arxiv:2207.14337 v1 · 2022-07-22 · 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{WWGVXBN3GQRNF5X3DSN2ERNVCG}

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

Non-admissibility of some universal supersingular representations

Receipt and verification

First computed	2026-07-05T04:44:32.886490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58d5b85bb3422d2f6fb1c9ba245b511bc244862b5e7027cff7f5a37de65e059

Aliases

arxiv: 2207.14337 · arxiv_version: 2207.14337v1 · doi: 10.48550/arxiv.2207.14337 · pith_short_12: WWGVXBN3GQRN · pith_short_16: WWGVXBN3GQRNF5X3 · pith_short_8: WWGVXBN3

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/WWGVXBN3GQRNF5X3DSN2ERNVCG \
  | 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: b58d5b85bb3422d2f6fb1c9ba245b511bc244862b5e7027cff7f5a37de65e059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58896918df78de751e2e618ed8cee5f91d3f88d63f3090e11f5418e8e3656f6f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-07-22T16:51:16Z",
    "title_canon_sha256": "91be43b605f2c67bacced33589a64ca29558104f6c3765d2f803ed96ca08899e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.14337",
    "kind": "arxiv",
    "version": 1
  }
}