Pith Number

pith:2KOJOTDI

pith:2013:2KOJOTDI45WSWZVH2BLV3Z24W3

not attested not anchored not stored refs pending

On the functional equation of the normalized Shintani l-function of several variables

Minoru Hirose, Nobuo Sato

arxiv:1310.7716 v1 · 2013-10-29 · 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{2KOJOTDI45WSWZVH2BLV3Z24W3}

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	2026-05-18T03:08:35.454626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d29c974c68e76d2b66a7d0575de75cb6daaa096f502e808b482ae63333438151

Aliases

arxiv: 1310.7716 · arxiv_version: 1310.7716v1 · doi: 10.48550/arxiv.1310.7716 · pith_short_12: 2KOJOTDI45WS · pith_short_16: 2KOJOTDI45WSWZVH · pith_short_8: 2KOJOTDI

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/2KOJOTDI45WSWZVH2BLV3Z24W3 \
  | 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: d29c974c68e76d2b66a7d0575de75cb6daaa096f502e808b482ae63333438151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fca151531f7109217309dce3d145a32e4dc288f475092b1085839fa77bb36b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-29T09:12:25Z",
    "title_canon_sha256": "fb813d596e83fe4e0e9fe0ad585818230cce4d11a286f13e9aa1682110a4c22f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7716",
    "kind": "arxiv",
    "version": 1
  }
}