Pith Number

pith:P4PGDXJW

pith:2018:P4PGDXJWAENUJTX6DJIEDXUVYA

not attested not anchored not stored refs pending

Computing Special $L$-Values of Certain Modular Forms with Complex Multiplication

Fang-Ting Tu, Ling Long, Wen-Ching Winnie Li

arxiv:1803.06072 v3 · 2018-03-16 · 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{P4PGDXJWAENUJTX6DJIEDXUVYA}

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	2026-05-18T00:06:56.196351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f1e61dd36011b44cefe1a5041de95c02a7660830e4e4ffcb1dc25854ff09dd9

Aliases

arxiv: 1803.06072 · arxiv_version: 1803.06072v3 · doi: 10.48550/arxiv.1803.06072 · pith_short_12: P4PGDXJWAENU · pith_short_16: P4PGDXJWAENUJTX6 · pith_short_8: P4PGDXJW

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/P4PGDXJWAENUJTX6DJIEDXUVYA \
  | 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: 7f1e61dd36011b44cefe1a5041de95c02a7660830e4e4ffcb1dc25854ff09dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a7153c2e1f363bc7b581908b91b63d7872ff698cc75be205160f5a00b164c4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-16T04:32:31Z",
    "title_canon_sha256": "b27ffecc3bfe291aa5242c84b6074558c4a7ab2ddf9a0f8c1ce1c8fefb76d334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06072",
    "kind": "arxiv",
    "version": 3
  }
}