Pith Number

pith:4P4O2HYT

pith:2014:4P4O2HYT2LC34R2OPY5G7VRE6P

not attested not anchored not stored refs pending

Fourier expansion of Arakawa lifting II: Relation with central L-values

Atsushi Murase, Hiro-aki Narita

arxiv:1410.4638 v1 · 2014-10-17 · 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{4P4O2HYT2LC34R2OPY5G7VRE6P}

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	2026-05-18T02:39:55.091095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3f8ed1f13d2c5be474e7e3a6fd624f3d89290dc6cc7b3559cc6df0b301ce725

Aliases

arxiv: 1410.4638 · arxiv_version: 1410.4638v1 · doi: 10.48550/arxiv.1410.4638 · pith_short_12: 4P4O2HYT2LC3 · pith_short_16: 4P4O2HYT2LC34R2O · pith_short_8: 4P4O2HYT

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/4P4O2HYT2LC34R2OPY5G7VRE6P \
  | 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: e3f8ed1f13d2c5be474e7e3a6fd624f3d89290dc6cc7b3559cc6df0b301ce725

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d37699fee3cc89640002d981faa0fa772d9f04a1a16b3dd1a0c66a0e87f16cde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-17T05:11:30Z",
    "title_canon_sha256": "49bf7153793020a102a54a3c998889f7cab443d77262efecb4d6cdc447d4e50f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4638",
    "kind": "arxiv",
    "version": 1
  }
}