Pith Number

pith:GWVVFLPC

pith:2026:GWVVFLPC7HCP4VE2TEWMG32NRS

not attested not anchored not stored refs pending

A trace formula derivation of the functional equation for symmetric square L-functions

Dongsheng Wu, Taiwang Deng

arxiv:2606.15729 v2 · 2026-06-14 · 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{GWVVFLPC7HCP4VE2TEWMG32NRS}

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	2026-07-17T01:20:52.487886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ab52ade2f9c4fe549a992cc36f4d8c808b0029c28c573f6cf4345987c0f224

Aliases

arxiv: 2606.15729 · arxiv_version: 2606.15729v2 · doi: 10.48550/arxiv.2606.15729 · pith_short_12: GWVVFLPC7HCP · pith_short_16: GWVVFLPC7HCP4VE2 · pith_short_8: GWVVFLPC

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/GWVVFLPC7HCP4VE2TEWMG32NRS \
  | 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: 35ab52ade2f9c4fe549a992cc36f4d8c808b0029c28c573f6cf4345987c0f224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee910baa07af6bdbbeddfced5252703e554df08378dcf6580de6d11fe21e6954",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-14T10:23:27Z",
    "title_canon_sha256": "694640fe2207ca5f972b69e452c04f59701682b8814877885c31cd7220f1605d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.15729",
    "kind": "arxiv",
    "version": 2
  }
}