Pith Number

pith:5QPJH7TM

pith:2010:5QPJH7TMZZAMTNFPSC5O6F5DOS

not attested not anchored not stored refs pending

The conjectural connections between automorphic representations and Galois representations

Kevin Buzzard, Toby Gee

arxiv:1009.0785 v3 · 2010-09-03 · 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{5QPJH7TMZZAMTNFPSC5O6F5DOS}

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	2026-05-18T01:33:57.366910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec1e93fe6cce40c9b4af90baef17a374bc9de5e06da0eb682abb4fcdbc5d8c99

Aliases

arxiv: 1009.0785 · arxiv_version: 1009.0785v3 · doi: 10.48550/arxiv.1009.0785 · pith_short_12: 5QPJH7TMZZAM · pith_short_16: 5QPJH7TMZZAMTNFP · pith_short_8: 5QPJH7TM

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/5QPJH7TMZZAMTNFPSC5O6F5DOS \
  | 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: ec1e93fe6cce40c9b4af90baef17a374bc9de5e06da0eb682abb4fcdbc5d8c99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a54c9d6697ea5f5a2f82456f0544931d6b60d4cac0d267b13ae68c0055e661a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-03T23:15:46Z",
    "title_canon_sha256": "54fbda819287b8cf9dc425558ebe71e9a7f54853864166783bc7cd5250d84dfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0785",
    "kind": "arxiv",
    "version": 3
  }
}