Pith Number

pith:PCY7SFJI

pith:2021:PCY7SFJIF723STOQCIBTGNHCGJ

not attested not anchored not stored refs pending

Lower bounds for Galois orbits of special points on Shimura varieties: a point-counting approach

Andrei Yafaev, Gal Binyamini, Harry Schmidt

arxiv:2104.05842 v2 · 2021-04-12 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCY7SFJIF723STOQCIBTGNHCGJ}

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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

Unlikely intersections in Shimura varieties and beyond: a survey

Receipt and verification

First computed	2026-07-05T03:18:27.021133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b1f915282ff5b94dd012033334e2324c7e63395aeb32c62df6b34431e6cb5b

Aliases

arxiv: 2104.05842 · arxiv_version: 2104.05842v2 · doi: 10.48550/arxiv.2104.05842 · pith_short_12: PCY7SFJIF723 · pith_short_16: PCY7SFJIF723STOQ · pith_short_8: PCY7SFJI

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/PCY7SFJIF723STOQCIBTGNHCGJ \
  | 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: 78b1f915282ff5b94dd012033334e2324c7e63395aeb32c62df6b34431e6cb5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b18d5d5b74a5e87aaefa36dd4a20ac47d3dc9bbdd2da5d285bd5d600916c327",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-04-12T22:04:07Z",
    "title_canon_sha256": "63ef5973eb47491af09dc0d9e229dc2127bebc7ffe919cef5af031c8621af610"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.05842",
    "kind": "arxiv",
    "version": 2
  }
}