Pith Number

pith:4VRGGDJS

pith:2026:4VRGGDJSXIQT2BCVJAPL5F7JUT

not attested not anchored not stored refs pending

Discrete Fourier Transform Approach to Cyclically Covering Subspaces of $\mathbb{F}^n_q$

Pingzhi Yuan, Yangcheng Li

arxiv:2606.13307 v1 · 2026-06-11 · 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{4VRGGDJSXIQT2BCVJAPL5F7JUT}

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	2026-06-12T01:09:51.539618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e562630d32ba213d0455481ebe97e9a4f35115852af5659c00502eb3e3937485

Aliases

arxiv: 2606.13307 · arxiv_version: 2606.13307v1 · doi: 10.48550/arxiv.2606.13307 · pith_short_12: 4VRGGDJSXIQT · pith_short_16: 4VRGGDJSXIQT2BCV · pith_short_8: 4VRGGDJS

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/4VRGGDJSXIQT2BCVJAPL5F7JUT \
  | 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: e562630d32ba213d0455481ebe97e9a4f35115852af5659c00502eb3e3937485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de0fc78f52630fc3eb63126d406effd4aebb012afcf22ba08c51ff93c8f96431",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-11T13:04:23Z",
    "title_canon_sha256": "32cfca59e0be840bddfdb55ac579ea9b3e1a04cbb270b30d5c47153ef1ecb959"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13307",
    "kind": "arxiv",
    "version": 1
  }
}