Pith Number

pith:6NGVW3WV

pith:2012:6NGVW3WV6BHUMMHRNCQTL76RPQ

not attested not anchored not stored refs pending

A new realization of the Langlands correspondence for PGL(2,F)

Moshe Adrian

arxiv:1210.3268 v1 · 2012-10-11 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6NGVW3WV6BHUMMHRNCQTL76RPQ}

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	2026-05-18T03:43:27.838554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f34d5b6ed5f04f4630f168a135ffd17c0ac8b923946b57af85a65cd30e26b0b0

Aliases

arxiv: 1210.3268 · arxiv_version: 1210.3268v1 · doi: 10.48550/arxiv.1210.3268 · pith_short_12: 6NGVW3WV6BHU · pith_short_16: 6NGVW3WV6BHUMMHR · pith_short_8: 6NGVW3WV

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/6NGVW3WV6BHUMMHRNCQTL76RPQ \
  | 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: f34d5b6ed5f04f4630f168a135ffd17c0ac8b923946b57af85a65cd30e26b0b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9073188388f6460639918ba39d468730e1a11ed69044dcf8e3bb7324d708342f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-11T15:21:45Z",
    "title_canon_sha256": "5ee1c2c57212108c184149516eb423328bd495b6fd3612df7a200e8b44ebc3e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3268",
    "kind": "arxiv",
    "version": 1
  }
}