Pith Number

pith:FMY6SA6W

pith:2019:FMY6SA6WPNNVRSFAR4ZRCR42PO

not attested not anchored not stored refs pending

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

Chandrashekhar Khare, Najmuddin Fakhruddin, Stefan Patrikis

arxiv:1908.07929 v3 · 2019-08-21 · 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{FMY6SA6WPNNVRSFAR4ZRCR42PO}

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	2026-07-05T01:21:34.642081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b31e903d67b5b58c8a08f3311479a7bad0bb9f2605f48f9fc0bb947fa5b32dc

Aliases

arxiv: 1908.07929 · arxiv_version: 1908.07929v3 · doi: 10.48550/arxiv.1908.07929 · pith_short_12: FMY6SA6WPNNV · pith_short_16: FMY6SA6WPNNVRSFA · pith_short_8: FMY6SA6W

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/FMY6SA6WPNNVRSFAR4ZRCR42PO \
  | 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: 2b31e903d67b5b58c8a08f3311479a7bad0bb9f2605f48f9fc0bb947fa5b32dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43f1f665a904d506dcb9fe5a2c97ecd75fc1bda9eea3731038000d3a31cbdb7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-21T15:35:33Z",
    "title_canon_sha256": "6b470f76a9a13c8a223bca5b87e824ffaca8cc4c2e6835b36395daa0e8f7d972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07929",
    "kind": "arxiv",
    "version": 3
  }
}