Pith Number

pith:TSCKYXTT

pith:2014:TSCKYXTTTWJLHAKUQ7G32J3DOW

not attested not anchored not stored refs pending

A mean value of a triple product of $L$-functions

Jack Buttcane, Rizwanur Khan

arxiv:1411.4541 v4 · 2014-11-17 · 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{TSCKYXTTTWJLHAKUQ7G32J3DOW}

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	2026-05-18T01:12:22.948033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c84ac5e739d92b3815487cdbd2763758543b153cce1f80427ce2b1c7d764e47

Aliases

arxiv: 1411.4541 · arxiv_version: 1411.4541v4 · doi: 10.48550/arxiv.1411.4541 · pith_short_12: TSCKYXTTTWJL · pith_short_16: TSCKYXTTTWJLHAKU · pith_short_8: TSCKYXTT

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/TSCKYXTTTWJLHAKUQ7G32J3DOW \
  | 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: 9c84ac5e739d92b3815487cdbd2763758543b153cce1f80427ce2b1c7d764e47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "881f5fe732b84ad5b672feccf668c2806ba9396f4b14ce6bad6d604a6430dbd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-17T16:42:01Z",
    "title_canon_sha256": "a0cb2e9d87e590ab2d58b7a5cf14a244c421f288a26f3860c9a0e8da66fd0eb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4541",
    "kind": "arxiv",
    "version": 4
  }
}