Pith Number

pith:ZQPT6XTK

pith:2026:ZQPT6XTKDBUQOP5NLAP3WSGXBB

not attested not anchored not stored refs pending

Relations and Derivatives of Multiple Eisenstein Series

Hayato Kanno, Henrik Bachmann, Takumi Maesaka

arxiv:2602.08176 v2 · 2026-02-09 · math.NT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQPT6XTKDBUQOP5NLAP3WSGXBB}

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	2026-07-14T01:22:04.163879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc1f3f5e6a1869073fad581fbb48d7087c2263d612a6a2dd49d2fbb42b6c73bc

Aliases

arxiv: 2602.08176 · arxiv_version: 2602.08176v2 · doi: 10.48550/arxiv.2602.08176 · pith_short_12: ZQPT6XTKDBUQ · pith_short_16: ZQPT6XTKDBUQOP5N · pith_short_8: ZQPT6XTK

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/ZQPT6XTKDBUQOP5NLAP3WSGXBB \
  | 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: cc1f3f5e6a1869073fad581fbb48d7087c2263d612a6a2dd49d2fbb42b6c73bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9cfe3615a15d23ce79969239ce7577204ae235733af8b13d660bc9258caf9a6",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-02-09T00:37:22Z",
    "title_canon_sha256": "31d447b167b21a6c258d874f3717b5d9551c41d18b2415f33242fdf98e8f5d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.08176",
    "kind": "arxiv",
    "version": 2
  }
}