Pith Number

pith:2HTMPKTO

pith:2026:2HTMPKTOEDKIEM2LHIYLDYHC6N

not attested not anchored not stored refs pending

Cyclotomic factors of rational necklace functions

Dung Nguyen, Duong Tran, Nguyen Cao Minh, Nguyen Duy Tan, Nguyen Vu Hoang Minh, Tung T. Nguyen

arxiv:2606.02324 v1 · 2026-06-01 · 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{2HTMPKTOEDKIEM2LHIYLDYHC6N}

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	2026-06-02T03:04:56.200641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1e6c7aa6e20d482334b3a30b1e0e2f342b251dce9e906b534c450a125b842d8

Aliases

arxiv: 2606.02324 · arxiv_version: 2606.02324v1 · doi: 10.48550/arxiv.2606.02324 · pith_short_12: 2HTMPKTOEDKI · pith_short_16: 2HTMPKTOEDKIEM2L · pith_short_8: 2HTMPKTO

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/2HTMPKTOEDKIEM2LHIYLDYHC6N \
  | 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: d1e6c7aa6e20d482334b3a30b1e0e2f342b251dce9e906b534c450a125b842d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7db53ef21993838f5daf23e83ef59a27aa9500e2b057956e68da91292d574a60",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-01T14:37:02Z",
    "title_canon_sha256": "317cc080933a3dd6112dd20921c75e2b19f7cd5df63ccc5ba57950d0f88eb3ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02324",
    "kind": "arxiv",
    "version": 1
  }
}