Pith Number

pith:4RZPCKIS

pith:2024:4RZPCKISAKDORX64Z5PJIUVK3R

not attested not anchored not stored refs pending

Zariski density of crystalline points on $\GSp_{2n}$-valued local deformation rings

Kensuke Aoki

arxiv:2407.17005 v1 · 2024-07-24 · 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{4RZPCKISAKDORX64Z5PJIUVK3R}

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

The trianguline variety for reductive groups

Receipt and verification

First computed	2026-07-05T08:48:00.899195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e472f129120286e8dfdccf5e9452aadc42ccdbafd488879331102213d89fbc5e

Aliases

arxiv: 2407.17005 · arxiv_version: 2407.17005v1 · doi: 10.48550/arxiv.2407.17005 · pith_short_12: 4RZPCKISAKDO · pith_short_16: 4RZPCKISAKDORX64 · pith_short_8: 4RZPCKIS

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/4RZPCKISAKDORX64Z5PJIUVK3R \
  | 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: e472f129120286e8dfdccf5e9452aadc42ccdbafd488879331102213d89fbc5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6468ceeebc0cc31111ca0601d58a411a7af20574e8a74a9607fd4e8c263412dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-07-24T05:02:49Z",
    "title_canon_sha256": "5f6f5c90253cbf91d0cf07537172d9b0c55c95b1115252c8d44d115023c600ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.17005",
    "kind": "arxiv",
    "version": 1
  }
}