Pith Number

pith:XG57ML7I

pith:2013:XG57ML7IN362BEVSIDGUM6F43M

not attested not anchored not stored refs pending

Double Shuffle Relations for Multiple Dedekind Zeta Values

Ivan Horozov

arxiv:1311.4019 v2 · 2013-11-16 · 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{XG57ML7IN362BEVSIDGUM6F43M}

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	2026-05-18T00:00:23.129100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9bbf62fe86efda092b240cd4678bcdb0b5add5042469ac8eb139dde96dda2fc

Aliases

arxiv: 1311.4019 · arxiv_version: 1311.4019v2 · doi: 10.48550/arxiv.1311.4019 · pith_short_12: XG57ML7IN362 · pith_short_16: XG57ML7IN362BEVS · pith_short_8: XG57ML7I

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/XG57ML7IN362BEVSIDGUM6F43M \
  | 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: b9bbf62fe86efda092b240cd4678bcdb0b5add5042469ac8eb139dde96dda2fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88aa73a9254119706bf0dba2ac30f117f6450945db7bc11563c419a008532619",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-16T05:11:06Z",
    "title_canon_sha256": "d7ceaa466ec87f08be0cbd33a38dcf8c1c6ec9d63886b3d81f57b82f8206469b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4019",
    "kind": "arxiv",
    "version": 2
  }
}