Pith Number

pith:HJJ5M3GY

pith:2025:HJJ5M3GYGCE4ISXMSU4YZBP6PC

not attested not anchored not stored refs pending

Noncommutative factorizations of higher sine functions in positive characteristic

Federico Pellarin, Nathan Green

arxiv:2503.13295 v2 · 2025-03-17 · 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{HJJ5M3GYGCE4ISXMSU4YZBP6PC}

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	2026-06-01T02:03:20.021643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a53d66cd83089c44aec95398c85fe78b5073113d7afee3a3a08c1259b6bab78

Aliases

arxiv: 2503.13295 · arxiv_version: 2503.13295v2 · doi: 10.48550/arxiv.2503.13295 · pith_short_12: HJJ5M3GYGCE4 · pith_short_16: HJJ5M3GYGCE4ISXM · pith_short_8: HJJ5M3GY

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/HJJ5M3GYGCE4ISXMSU4YZBP6PC \
  | 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: 3a53d66cd83089c44aec95398c85fe78b5073113d7afee3a3a08c1259b6bab78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54c18d10f3c8790be00629f50d54475aa38f13a2184fc04bbed18ee2dda409a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-03-17T15:41:32Z",
    "title_canon_sha256": "d71f31ae400d1a69e26fa13264ac2565ab84fd54aae7e4110a727408a47fddd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.13295",
    "kind": "arxiv",
    "version": 2
  }
}