Pith Number

pith:VXXNT7JT

pith:2014:VXXNT7JTCAMTPY4XFVKQP4KHEI

not attested not anchored not stored refs pending

$p$-adic properties of modular shifted convolution Dirichlet series

Kathrin Bringmann, Ken Ono, Michael H. Mertens

arxiv:1409.0694 v2 · 2014-09-02 · 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{VXXNT7JTCAMTPY4XFVKQP4KHEI}

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	2026-05-18T01:31:30.190673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adeed9fd33101937e3972d5507f147221c36ace3a55cd9cb7dca5f0200f8dda5

Aliases

arxiv: 1409.0694 · arxiv_version: 1409.0694v2 · doi: 10.48550/arxiv.1409.0694 · pith_short_12: VXXNT7JTCAMT · pith_short_16: VXXNT7JTCAMTPY4X · pith_short_8: VXXNT7JT

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/VXXNT7JTCAMTPY4XFVKQP4KHEI \
  | 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: adeed9fd33101937e3972d5507f147221c36ace3a55cd9cb7dca5f0200f8dda5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bd56ccc7ec551e41133944394449d61e497c72f2b9261bf91c6c0efd8e63e63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-02T13:07:31Z",
    "title_canon_sha256": "95e698f839ecb61e1bbad695e60d807ff675f644cadb71559a0911fc12829102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0694",
    "kind": "arxiv",
    "version": 2
  }
}