Pith Number

pith:ETKBL5KQ

pith:2014:ETKBL5KQOFDITISOD3ZSHUIYHJ

not attested not anchored not stored refs pending

Eisenstein series identities based on partial fraction decomposition

Koji Tasaka, Minoru Hirose, Nobuo Sato

arxiv:1402.1585 v1 · 2014-02-07 · 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{ETKBL5KQOFDITISOD3ZSHUIYHJ}

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	2026-05-18T02:59:46.791277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24d415f550714689a24e1ef323d1183a48a02e82b2befb739f57e1d6b1222628

Aliases

arxiv: 1402.1585 · arxiv_version: 1402.1585v1 · doi: 10.48550/arxiv.1402.1585 · pith_short_12: ETKBL5KQOFDI · pith_short_16: ETKBL5KQOFDITISO · pith_short_8: ETKBL5KQ

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/ETKBL5KQOFDITISOD3ZSHUIYHJ \
  | 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: 24d415f550714689a24e1ef323d1183a48a02e82b2befb739f57e1d6b1222628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2913f7d7ac30ddb99c06026ba1fd6e9a772496811386e1472c839ff46d13e85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-07T10:10:56Z",
    "title_canon_sha256": "511019c95791ce0041a6de03050d2fc668234b57bfbb16000b3d0a9eb4aea7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1585",
    "kind": "arxiv",
    "version": 1
  }
}