Pith Number

pith:CGKH2AXF

pith:2018:CGKH2AXF65RCVEZFUSXM23YCOJ

not attested not anchored not stored refs pending

New test vector for Waldspurger's period integral, relative trace formula, and hybrid subconvexity bounds

Paul D.Nelson, Yueke Hu

arxiv:1810.11564 v2 · 2018-10-27 · 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{CGKH2AXF65RCVEZFUSXM23YCOJ}

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	2026-07-05T01:25:01.132406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11947d02e5f7622a9325a4aecd6f027261cddb5d157befdd68606be12874d7b8

Aliases

arxiv: 1810.11564 · arxiv_version: 1810.11564v2 · doi: 10.48550/arxiv.1810.11564 · pith_short_12: CGKH2AXF65RC · pith_short_16: CGKH2AXF65RCVEZF · pith_short_8: CGKH2AXF

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/CGKH2AXF65RCVEZFUSXM23YCOJ \
  | 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: 11947d02e5f7622a9325a4aecd6f027261cddb5d157befdd68606be12874d7b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c975fe5c081c655bd287335dbb577f33732a93d753c2ddb7a942897321882b8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-27T00:19:35Z",
    "title_canon_sha256": "3a30ca9af18b2977e18ae86f973d2f982b93c4115d236cc1ec560fe4ae2f7e08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11564",
    "kind": "arxiv",
    "version": 2
  }
}