Pith Number

pith:4BXI7ZXV

pith:2025:4BXI7ZXVIUSVQHULM23UZJLUH7

not attested not anchored not stored refs pending

Minimal value set binomials and Frobenius nonclassical curves

Jo\~ao Paulo Guardieiro, Tiago Aprigio

arxiv:2508.16541 v2 · 2025-08-22 · 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{4BXI7ZXVIUSVQHULM23UZJLUH7}

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

Microscopic field theories of the quantum skyrmion Hall effect

Receipt and verification

First computed	2026-06-09T01:04:39.100355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e06e8fe6f54525581e8b66b74ca5743fc09ee45be363c3350149a254155abc6e

Aliases

arxiv: 2508.16541 · arxiv_version: 2508.16541v2 · doi: 10.48550/arxiv.2508.16541 · pith_short_12: 4BXI7ZXVIUSV · pith_short_16: 4BXI7ZXVIUSVQHUL · pith_short_8: 4BXI7ZXV

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/4BXI7ZXVIUSVQHULM23UZJLUH7 \
  | 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: e06e8fe6f54525581e8b66b74ca5743fc09ee45be363c3350149a254155abc6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4cb5269735ca3744b4fbb43ca7f63d03a35b748c5183e637d3639c5db852b39",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-22T17:06:54Z",
    "title_canon_sha256": "aa905fbbbc7c9b4b507bb96b99d6f7ab6112d2aac0dc8b9843a59f27a169c7e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.16541",
    "kind": "arxiv",
    "version": 2
  }
}