Pith Number

pith:LGFFRAWY

pith:2021:LGFFRAWY7M2LRTATCXAIRLPR5I

not attested not anchored not stored refs pending

Maximal parahoric arithmetic transfers, resolutions and modularity

Zhiyu Zhang

arxiv:2112.11994 v3 · 2021-12-22 · math.NT · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGFFRAWY7M2LRTATCXAIRLPR5I}

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

2 papers in Pith

Quasi-canonical AFL and Arithmetic Transfer conjectures at parahoric levels

The basic locus of ramified unitary Shimura varieties of signature $(n-1,1)$ at maximal vertex level

Receipt and verification

First computed	2026-07-05T08:17:07.868736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

598a5882d8fb34b8cc1315c088adf1ea0d628f0263cc85cdf99a9185b0aabc24

Aliases

arxiv: 2112.11994 · arxiv_version: 2112.11994v3 · doi: 10.48550/arxiv.2112.11994 · pith_short_12: LGFFRAWY7M2L · pith_short_16: LGFFRAWY7M2LRTAT · pith_short_8: LGFFRAWY

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/LGFFRAWY7M2LRTATCXAIRLPR5I \
  | 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: 598a5882d8fb34b8cc1315c088adf1ea0d628f0263cc85cdf99a9185b0aabc24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c9b228d5adf0f83639b04031ff4d31a51399c6ce24466fd2360517c66cb787",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-12-22T16:16:00Z",
    "title_canon_sha256": "95ae36e9b15026774b5c432a6fb7776a5a2f82f1943a2d43b152b511f0cfb8df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.11994",
    "kind": "arxiv",
    "version": 3
  }
}