Pith Number

pith:ZWXD3FM6

pith:2012:ZWXD3FM6SBI24PCIGATKGBREC6

not attested not anchored not stored refs pending

On the modified mod p local Langlands correspondence for GL_2(Q_{\ell})

David Helm

arxiv:1210.1793 v1 · 2012-10-05 · 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{ZWXD3FM6SBI24PCIGATKGBREC6}

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	2026-05-18T03:43:53.301817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdae3d959e9051ae3c483026a3062417ac9b0e0e6d1ec1fda8bfdd323e609146

Aliases

arxiv: 1210.1793 · arxiv_version: 1210.1793v1 · doi: 10.48550/arxiv.1210.1793 · pith_short_12: ZWXD3FM6SBI2 · pith_short_16: ZWXD3FM6SBI24PCI · pith_short_8: ZWXD3FM6

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/ZWXD3FM6SBI24PCIGATKGBREC6 \
  | 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: cdae3d959e9051ae3c483026a3062417ac9b0e0e6d1ec1fda8bfdd323e609146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b216ff99847f19047a36e7cdd76df58f43865fb626d617e74f57157898b4d22",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-05T15:42:48Z",
    "title_canon_sha256": "33fb1e1f1256240fe896d4e0f9b6340338e426b6bec724cf4cd15441c689ffc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1793",
    "kind": "arxiv",
    "version": 1
  }
}