Pith Number

pith:KV73B7C7

pith:2013:KV73B7C7OH3V36RWIF7WEX3JND

not attested not anchored not stored refs pending

Explicit formulas for the twisted Koecher-Maass series of the Duke-Imamoglu-Ikeda lift and their applications

Hidenori Katsurada

arxiv:1310.1544 v1 · 2013-10-06 · 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{KV73B7C7OH3V36RWIF7WEX3JND}

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	2026-05-18T03:11:11.583042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

557fb0fc5f71f75dfa36417f625f6968efea364742b53cf36001214b1abbfbb6

Aliases

arxiv: 1310.1544 · arxiv_version: 1310.1544v1 · doi: 10.48550/arxiv.1310.1544 · pith_short_12: KV73B7C7OH3V · pith_short_16: KV73B7C7OH3V36RW · pith_short_8: KV73B7C7

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/KV73B7C7OH3V36RWIF7WEX3JND \
  | 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: 557fb0fc5f71f75dfa36417f625f6968efea364742b53cf36001214b1abbfbb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1c6fd241da41515b7abc55683122ffc29ce54238236cd1ab84a699e734822b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-06T05:23:34Z",
    "title_canon_sha256": "91f0fe2c7603ceaa67a07aa68177afdd83ec3a6ec01f9138dda91d0caba99c0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1544",
    "kind": "arxiv",
    "version": 1
  }
}