Pith Number

pith:FZV25VAV

pith:2025:FZV25VAVSO3MKPIOE52HBKSXKA

not attested not anchored not stored refs pending

A Hasse principle for $GL_2(\mathbb{F}_p)$ and Bloch's exact sequence for elliptic curves over number fields

Toshiro Hiranouchi

arxiv:2504.05595 v1 · 2025-04-08 · 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{FZV25VAVSO3MKPIOE52HBKSXKA}

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

A Hasse principle for the higher Chow groups of curves over a global field

Receipt and verification

First computed	2026-07-05T10:46:06.486978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e6baed41593b6c53d0e277470aa57503805bb9cf06586af5c86d8407ac416f0

Aliases

arxiv: 2504.05595 · arxiv_version: 2504.05595v1 · doi: 10.48550/arxiv.2504.05595 · pith_short_12: FZV25VAVSO3M · pith_short_16: FZV25VAVSO3MKPIO · pith_short_8: FZV25VAV

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/FZV25VAVSO3MKPIOE52HBKSXKA \
  | 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: 2e6baed41593b6c53d0e277470aa57503805bb9cf06586af5c86d8407ac416f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35c75ff481c0dcc2bd2630177b9d06645cbf50c731ebab48f938dd6e739c5990",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-08T01:03:32Z",
    "title_canon_sha256": "13ad90955c180df538fcd7557a72b910df3b7294e0dfe5226ecb806def766a5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.05595",
    "kind": "arxiv",
    "version": 1
  }
}