Pith Number

pith:JB45ODSD

pith:2011:JB45ODSDTJXDSNMALFHO6IF6FS

not attested not anchored not stored refs pending

Double zeta values, double Eisenstein series, and modular forms of level 2

Koji Tasaka, Masanobu Kaneko

arxiv:1112.5697 v1 · 2011-12-24 · 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{JB45ODSDTJXDSNMALFHO6IF6FS}

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	2026-05-18T04:05:37.794728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4879d70e439a6e393580594eef20be2cb09ae6941709fb1ee220e3635df45c2c

Aliases

arxiv: 1112.5697 · arxiv_version: 1112.5697v1 · doi: 10.48550/arxiv.1112.5697 · pith_short_12: JB45ODSDTJXD · pith_short_16: JB45ODSDTJXDSNMA · pith_short_8: JB45ODSD

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/JB45ODSDTJXDSNMALFHO6IF6FS \
  | 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: 4879d70e439a6e393580594eef20be2cb09ae6941709fb1ee220e3635df45c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08095fd88c87930cd6e0cb0c1bb1fa5264fa628653673da1c745686b24b602e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-24T04:25:19Z",
    "title_canon_sha256": "adbe703d630cd74979539d6a78654bad3794097eb7a351839f7786837cce189b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5697",
    "kind": "arxiv",
    "version": 1
  }
}