Pith Number

pith:AJN4OQZT

pith:2025:AJN4OQZTW4SKTORXL5VWW6WO65

not attested not anchored not stored refs pending

The Hasse principle for random homogeneous polynomials in thin sets

Daniel Flores, Kiseok Yeon

arxiv:2506.01291 v3 · 2025-06-02 · 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{AJN4OQZTW4SKTORXL5VWW6WO65}

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	2026-06-01T01:02:16.613518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

025bc74333b724a9ba375f6b6b7acef75d049e90732a5aeed7c4548f84e84ce4

Aliases

arxiv: 2506.01291 · arxiv_version: 2506.01291v3 · doi: 10.48550/arxiv.2506.01291 · pith_short_12: AJN4OQZTW4SK · pith_short_16: AJN4OQZTW4SKTORX · pith_short_8: AJN4OQZT

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/AJN4OQZTW4SKTORXL5VWW6WO65 \
  | 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: 025bc74333b724a9ba375f6b6b7acef75d049e90732a5aeed7c4548f84e84ce4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f139967d93b139692f58da4067b190eb2a5919d4703d66af83a6b3e3d484035",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-02T03:56:37Z",
    "title_canon_sha256": "e108afdbdc02e2e1e83603f3306e128f9a18b616b388da074059420ab6c19717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01291",
    "kind": "arxiv",
    "version": 3
  }
}