Pith Number

pith:2SC263XR

pith:2024:2SC263XRWKIBSTVBOD6XJXVWXW

not attested not anchored not stored refs pending

The Shintani--Faddeev modular cocycle: Stark units from $q$-Pochhammer ratios

Gene S. Kopp

arxiv:2411.06763 v3 · 2024-11-11 · 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{2SC263XRWKIBSTVBOD6XJXVWXW}

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

How Stark units enter SIC overlaps

Receipt and verification

First computed	2026-07-05T10:57:54.657746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d485af6ef1b290194ea170fd74deb6bdb165823ab187d75748bc074b2f7501f9

Aliases

arxiv: 2411.06763 · arxiv_version: 2411.06763v3 · doi: 10.48550/arxiv.2411.06763 · pith_short_12: 2SC263XRWKIB · pith_short_16: 2SC263XRWKIBSTVB · pith_short_8: 2SC263XR

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/2SC263XRWKIBSTVBOD6XJXVWXW \
  | 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: d485af6ef1b290194ea170fd74deb6bdb165823ab187d75748bc074b2f7501f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0235054ac9bd7fc68dc6d3746139fdf712884a4d43df921f82f91412e836c318",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-11T07:35:27Z",
    "title_canon_sha256": "bf85ec43bf6694c8fce95840870d16db3f9bdf7e2e2495be1e2b729229f02c5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.06763",
    "kind": "arxiv",
    "version": 3
  }
}