Pith Number

pith:2Y3TFC3X

pith:2024:2Y3TFC3XZFKK6ZNORBN7O4U3FM

not attested not anchored not stored refs pending

A remark on the Langlands correspondence for tori

Eric Opdam, Marcelo De Martino

arxiv:2410.06346 v4 · 2024-10-08 · math.RT · 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{2Y3TFC3XZFKK6ZNORBN7O4U3FM}

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.

Cited by

1 paper in Pith

Langlands Duality and Invariant Differential Operators

Receipt and verification

First computed	2026-07-05T12:06:02.274692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d637328b77c954af65ae885bf7729b2b1dd8131369f1b7160f3aabc0dfed582c

Aliases

arxiv: 2410.06346 · arxiv_version: 2410.06346v4 · doi: 10.48550/arxiv.2410.06346 · pith_short_12: 2Y3TFC3XZFKK · pith_short_16: 2Y3TFC3XZFKK6ZNO · pith_short_8: 2Y3TFC3X

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/2Y3TFC3XZFKK6ZNORBN7O4U3FM \
  | 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: d637328b77c954af65ae885bf7729b2b1dd8131369f1b7160f3aabc0dfed582c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5abdd56cb0dc375545f36ffba5047971203392de593acc27b32ce5f275da6462",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-10-08T20:31:47Z",
    "title_canon_sha256": "0ff3fbeb6dfdb2f4b895523ac617c9be18cb67158ee2568c88bc3cf368d04845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.06346",
    "kind": "arxiv",
    "version": 4
  }
}