Pith Number

pith:RP6KTLYG

pith:2024:RP6KTLYGMQP2UCG6DCDMO2YPSW

not attested not anchored not stored refs pending

Crystalline lifts of semisimple $G$-valued Galois representations with fixed determinant

Kensuke Aoki

arxiv:2501.00259 v2 · 2024-12-31 · 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{RP6KTLYGMQP2UCG6DCDMO2YPSW}

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	2026-07-05T10:06:09.989785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bfca9af06641faa08de1886c76b0f95945fe1c02fe1953a1e29c3f681cfa34b

Aliases

arxiv: 2501.00259 · arxiv_version: 2501.00259v2 · doi: 10.48550/arxiv.2501.00259 · pith_short_12: RP6KTLYGMQP2 · pith_short_16: RP6KTLYGMQP2UCG6 · pith_short_8: RP6KTLYG

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/RP6KTLYGMQP2UCG6DCDMO2YPSW \
  | 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: 8bfca9af06641faa08de1886c76b0f95945fe1c02fe1953a1e29c3f681cfa34b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc10791a41b6d483aead4fd430d719f494a714c7114e16bbc2db9c78cfab9b69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-31T04:04:46Z",
    "title_canon_sha256": "98d0683cc3e4ec7e3a3b70e3004f4a7ea1e077f382d2958ef34fd36b29f3f12e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00259",
    "kind": "arxiv",
    "version": 2
  }
}