Pith Number

pith:TN6Q4MNO

pith:2026:TN6Q4MNOMVLIK2XUJA35K2YENK

not attested not anchored not stored refs pending

Symmetric square $L$-functions on $\mathrm{GL}_3$

Johannes Linn

arxiv:2606.19959 v1 · 2026-06-18 · 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{TN6Q4MNOMVLIK2XUJA35K2YENK}

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	2026-06-19T16:12:59.201633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b7d0e31ae6556856af44837d56b046ab8cc2d4c5c77f0df9f9257d2e5b14869

Aliases

arxiv: 2606.19959 · arxiv_version: 2606.19959v1 · doi: 10.48550/arxiv.2606.19959 · pith_short_12: TN6Q4MNOMVLI · pith_short_16: TN6Q4MNOMVLIK2XU · pith_short_8: TN6Q4MNO

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/TN6Q4MNOMVLIK2XUJA35K2YENK \
  | 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: 9b7d0e31ae6556856af44837d56b046ab8cc2d4c5c77f0df9f9257d2e5b14869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a8c9e12fafb3ab269ec5adbc5fdf21b13ff1968ea1f4ea29002a4f74abf3823",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-18T08:57:16Z",
    "title_canon_sha256": "8b46bbef4c4fd514ce8b51d65aad340a7519c08a205b4711d29a1470b219df39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19959",
    "kind": "arxiv",
    "version": 1
  }
}