Pith Number

pith:JUKMKVDA

pith:2015:JUKMKVDA5E6J7TA5GGKZUQJT6E

not attested not anchored not stored refs pending

Parametrizing Shimura subvarieties of $\mathrm{A}_1$ Shimura varieties and related geometric problems

Benjamin Linowitz, Matthew Stover

arxiv:1510.03728 v2 · 2015-10-13 · math.GT · math.AG · 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{JUKMKVDA5E6J7TA5GGKZUQJT6E}

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	2026-05-18T01:11:33.319546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d14c55460e93c9fcc1d31959a4133f129fb9e09fbc4031abe69e4e21cc7d0b1

Aliases

arxiv: 1510.03728 · arxiv_version: 1510.03728v2 · doi: 10.48550/arxiv.1510.03728 · pith_short_12: JUKMKVDA5E6J · pith_short_16: JUKMKVDA5E6J7TA5 · pith_short_8: JUKMKVDA

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/JUKMKVDA5E6J7TA5GGKZUQJT6E \
  | 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: 4d14c55460e93c9fcc1d31959a4133f129fb9e09fbc4031abe69e4e21cc7d0b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da899acf6d7a846b19942055adb565560e5e2260691a462ec4e698f7e086f8dc",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-10-13T15:06:44Z",
    "title_canon_sha256": "2654735e08483b5890d4e24392eea10536e0c1173eda7480bf54eab2203d243c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03728",
    "kind": "arxiv",
    "version": 2
  }
}