Pith Number

pith:K5LXMYGG

pith:2023:K5LXMYGGNFB3DT27IFYWGXARQE

not attested not anchored not stored refs pending

Applications of Ramanujan's work on Eisenstein series

Masato Kobayashi

arxiv:2304.13978 v2 · 2023-04-27 · 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{K5LXMYGGNFB3DT27IFYWGXARQE}

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	2026-07-05T06:05:36.133121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57577660c66943b1cf5f4171635c118128bb27824115be0f3d25e727a4fb5fde

Aliases

arxiv: 2304.13978 · arxiv_version: 2304.13978v2 · doi: 10.48550/arxiv.2304.13978 · pith_short_12: K5LXMYGGNFB3 · pith_short_16: K5LXMYGGNFB3DT27 · pith_short_8: K5LXMYGG

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/K5LXMYGGNFB3DT27IFYWGXARQE \
  | 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: 57577660c66943b1cf5f4171635c118128bb27824115be0f3d25e727a4fb5fde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c192377109315b6bf04873b44e186ce0b317d66b537ae68b83ab4b3f7ce3ab7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-04-27T06:56:08Z",
    "title_canon_sha256": "cc429f62ac4613d07a46378b2f75d50295092717b01ebb4e74fc81c23c297c3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.13978",
    "kind": "arxiv",
    "version": 2
  }
}