Pith Number

pith:4BGVFMIW

pith:2026:4BGVFMIWKP6NWDHL33TCZAKEDU

not attested not anchored not stored refs pending

Beyond Endoscopy for $\mathrm{GL}_3(\mathbb{Q})$: Functional equation for the $L$-function of a cubic order

Yuchan Lee

arxiv:2607.03083 v1 · 2026-07-03 · 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{4BGVFMIWKP6NWDHL33TCZAKEDU}

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	2026-07-07T01:16:42.309089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e04d52b11653fcdb0cebdee62c81441d000e537297615be0e19d962d5f87af32

Aliases

arxiv: 2607.03083 · arxiv_version: 2607.03083v1 · doi: 10.48550/arxiv.2607.03083 · pith_short_12: 4BGVFMIWKP6N · pith_short_16: 4BGVFMIWKP6NWDHL · pith_short_8: 4BGVFMIW

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/4BGVFMIWKP6NWDHL33TCZAKEDU \
  | 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: e04d52b11653fcdb0cebdee62c81441d000e537297615be0e19d962d5f87af32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bb2b6d8cf62130cd77ee79c4b0555dba1802e2d87a0d10e7e6d5867a704faa0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-03T08:16:17Z",
    "title_canon_sha256": "7fa6be1565fd3cb6efc7844082d11e3ccca7134891172b66595fa129e2eafdbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03083",
    "kind": "arxiv",
    "version": 1
  }
}