Pith Number

pith:ALIEJAQF

pith:2010:ALIEJAQFA7MEUDAASWQQJM2O7N

not attested not anchored not stored refs pending

The Local Langlands correspondence for $\GL_n$ over $p$-adic fields

Peter Scholze

arxiv:1010.1540 v1 · 2010-10-07 · math.AG · 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{ALIEJAQFA7MEUDAASWQQJM2O7N}

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	2026-05-18T04:39:40.759699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02d044820507d84a0c0095a104b34efb67597cc4bc25e696bab011fa5ec8bebd

Aliases

arxiv: 1010.1540 · arxiv_version: 1010.1540v1 · doi: 10.48550/arxiv.1010.1540 · pith_short_12: ALIEJAQFA7ME · pith_short_16: ALIEJAQFA7MEUDAA · pith_short_8: ALIEJAQF

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/ALIEJAQFA7MEUDAASWQQJM2O7N \
  | 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: 02d044820507d84a0c0095a104b34efb67597cc4bc25e696bab011fa5ec8bebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b9e9d84bcb2e3bab31b6e612ba829296e4404dfa9d355a086401195e4996377",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-07T20:09:19Z",
    "title_canon_sha256": "a2a110f5bef4129001b8faf431c51af731213874fa3d3eff392c233cbb1b03d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1540",
    "kind": "arxiv",
    "version": 1
  }
}