Pith Number

pith:U3WPUUC2

pith:2024:U3WPUUC2OQG7Z3M4QTN7AWCDOM

not attested not anchored not stored refs pending

The Multiplicative Formula of Langlands for Orbital Integrals in GL(2)

Malors Espinosa

arxiv:2402.08013 v1 · 2024-02-12 · 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{U3WPUUC2OQG7Z3M4QTN7AWCDOM}

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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.

Cited by

1 paper in Pith

Langlands Duality and Invariant Differential Operators

Receipt and verification

First computed	2026-07-05T07:44:25.793642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ecfa505a740dfced9c84dbf058437300587f7be281aa47755931596e5294bb

Aliases

arxiv: 2402.08013 · arxiv_version: 2402.08013v1 · doi: 10.48550/arxiv.2402.08013 · pith_short_12: U3WPUUC2OQG7 · pith_short_16: U3WPUUC2OQG7Z3M4 · pith_short_8: U3WPUUC2

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/U3WPUUC2OQG7Z3M4QTN7AWCDOM \
  | 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: a6ecfa505a740dfced9c84dbf058437300587f7be281aa47755931596e5294bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "390d78a21a7c9902c33eec3b33ad3851da2fdf909decf26bc896e128893dc773",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-02-12T19:22:49Z",
    "title_canon_sha256": "93e573ddc992fdb6a29f2be819596268ab8231d5499fa50312c86ae8ce73893d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.08013",
    "kind": "arxiv",
    "version": 1
  }
}