Pith Number

pith:M5WP4E6E

pith:2012:M5WP4E6ENPJ5LQGBPQWYROTYET

not attested not anchored not stored refs pending

Multidimensional Shintani zeta functions and zeta distributions on R^d

Takahiro Aoyama, Takashi Nakamura

arxiv:1204.4042 v3 · 2012-04-18 · math.PR · 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{M5WP4E6ENPJ5LQGBPQWYROTYET}

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	2026-05-18T03:44:05.170507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

676cfe13c46bd3d5c0c17c2d88ba7824cbb92f063aebeb8e0366ab86871b01dd

Aliases

arxiv: 1204.4042 · arxiv_version: 1204.4042v3 · doi: 10.48550/arxiv.1204.4042 · pith_short_12: M5WP4E6ENPJ5 · pith_short_16: M5WP4E6ENPJ5LQGB · pith_short_8: M5WP4E6E

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/M5WP4E6ENPJ5LQGBPQWYROTYET \
  | 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: 676cfe13c46bd3d5c0c17c2d88ba7824cbb92f063aebeb8e0366ab86871b01dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91c78e95dcbad042fdd5604a50e00de6f4830c8df1d699296f1e4e7e6ab05017",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-18T10:42:26Z",
    "title_canon_sha256": "98c780a36332a89cbed0799ab85e01c900c28808b0497f9c99d6dbf529c53c37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4042",
    "kind": "arxiv",
    "version": 3
  }
}