Pith Number

pith:AERRC6MR

pith:2018:AERRC6MRQ5N5TSV723T5CXDOSX

not attested not anchored not stored refs pending

Special value formula for the twisted triple product $L$-function and an application to the restricted $L^2$-norm problem

Yao Cheng

arxiv:1810.13070 v3 · 2018-10-31 · 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{AERRC6MRQ5N5TSV723T5CXDOSX}

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	2026-07-05T01:34:40.995407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0123117991875bd9cabfd6e7d15c6e95cce5280d838f2dea1ce7fef5c3dc221b

Aliases

arxiv: 1810.13070 · arxiv_version: 1810.13070v3 · doi: 10.48550/arxiv.1810.13070 · pith_short_12: AERRC6MRQ5N5 · pith_short_16: AERRC6MRQ5N5TSV7 · pith_short_8: AERRC6MR

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/AERRC6MRQ5N5TSV723T5CXDOSX \
  | 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: 0123117991875bd9cabfd6e7d15c6e95cce5280d838f2dea1ce7fef5c3dc221b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f87242180a7c0059661f64bd1f6102598284908eee3ad2b167f2d263146c835",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-31T02:00:37Z",
    "title_canon_sha256": "8825e89b5eb9780a9d8186aaf059942f4efebb11d2b244ff5d5347973d821d80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13070",
    "kind": "arxiv",
    "version": 3
  }
}