Pith Number

pith:RCTDGZQN

pith:2024:RCTDGZQNHXPIBJHULHRZGE24AW

not attested not anchored not stored refs pending

Relative Trace Formula And Simultaneous Nonvanishing for GL_3 x GL_2 and GL_3 x GL_1 L-functions

Dinakar Ramakrishnan, Liyang Yang, Philippe Michel

arxiv:2411.12609 v1 · 2024-11-19 · 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{RCTDGZQNHXPIBJHULHRZGE24AW}

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	2026-07-05T09:37:45.546517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88a633660d3dde80a4f459e393135c0595168c787fbff5f222b5dde96bb707cb

Aliases

arxiv: 2411.12609 · arxiv_version: 2411.12609v1 · doi: 10.48550/arxiv.2411.12609 · pith_short_12: RCTDGZQNHXPI · pith_short_16: RCTDGZQNHXPIBJHU · pith_short_8: RCTDGZQN

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/RCTDGZQNHXPIBJHULHRZGE24AW \
  | 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: 88a633660d3dde80a4f459e393135c0595168c787fbff5f222b5dde96bb707cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d449f4925cd1f6aa07ae5ba217966c503209fd465725030b2ade74055c6f31a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-19T16:14:35Z",
    "title_canon_sha256": "b2c6afe4e48f331163c1c49b379fbf5796b83e8caa6d5392e288fed0a3f20257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.12609",
    "kind": "arxiv",
    "version": 1
  }
}