Pith Number

pith:IWAKEDVZ

pith:2023:IWAKEDVZCQ7NMEKBAVU3HAU6V4

not attested not anchored not stored refs pending

Ramanujan-Shen's differential equations for Eisenstein series of level 2

Masato Kobayashi

arxiv:2307.15206 v2 · 2023-07-27 · 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{IWAKEDVZCQ7NMEKBAVU3HAU6V4}

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	2026-07-05T08:07:28.542763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4580a20eb9143ed611410569b3829eaf3a2f161d0dc75dc4854841dbd512de1e

Aliases

arxiv: 2307.15206 · arxiv_version: 2307.15206v2 · doi: 10.48550/arxiv.2307.15206 · pith_short_12: IWAKEDVZCQ7N · pith_short_16: IWAKEDVZCQ7NMEKB · pith_short_8: IWAKEDVZ

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/IWAKEDVZCQ7NMEKBAVU3HAU6V4 \
  | 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: 4580a20eb9143ed611410569b3829eaf3a2f161d0dc75dc4854841dbd512de1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f76d6626aefab8a7c4f5db311a448c39326169298a0c4302d8b1fb9e68978f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-07-27T21:34:23Z",
    "title_canon_sha256": "c30831797dc28b2780549a9d8152020ec1d7140881ea4cdbabbe8e7016b5262d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.15206",
    "kind": "arxiv",
    "version": 2
  }
}