Pith Number

pith:SPEGYQEY

pith:2026:SPEGYQEYHFV4UQQAPYCE74QGS4

not attested not anchored not stored refs pending

On the Schematic and Analytic Constructions of the Local Langlands Category

Alexander B. Ivanov, Ian Gleason, Jo\~ao Louren\c{c}o, Konrad Zou, Linus Hamann

arxiv:2606.02799 v1 · 2026-06-01 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPEGYQEYHFV4UQQAPYCE74QGS4}

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	2026-06-03T01:05:22.081827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c86c4098396bca42007e044ff206972ae79f1ca60f583f25ac149c4d3b4f85

Aliases

arxiv: 2606.02799 · arxiv_version: 2606.02799v1 · doi: 10.48550/arxiv.2606.02799 · pith_short_12: SPEGYQEYHFV4 · pith_short_16: SPEGYQEYHFV4UQQA · pith_short_8: SPEGYQEY

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/SPEGYQEYHFV4UQQAPYCE74QGS4 \
  | 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: 93c86c4098396bca42007e044ff206972ae79f1ca60f583f25ac149c4d3b4f85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a2983e8c30ad9ffdce763ce08044a8f2c21a2e6a5e07d8676ca455e6d131df0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-01T19:09:44Z",
    "title_canon_sha256": "7dcbe52e1dda9145b606508c3d97d3760b3b5971daa479b9330fd8d0d5dd70eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02799",
    "kind": "arxiv",
    "version": 1
  }
}