Pith Number

pith:XW7XOZYH

pith:2012:XW7XOZYH6RPWC4DHCNNX7QV7BV

not attested not anchored not stored refs pending

A Real Groups Construction of the Tame Local Langlands Correspondence for PGSp(4,F)

Joshua Lansky, Moshe Adrian

arxiv:1209.6045 v1 · 2012-09-26 · 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{XW7XOZYH6RPWC4DHCNNX7QV7BV}

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	2026-05-18T03:44:45.587791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdbf776707f45f617067135b7fc2bf0d6ed6982fbdc28b4024a9ce24f71de2b1

Aliases

arxiv: 1209.6045 · arxiv_version: 1209.6045v1 · doi: 10.48550/arxiv.1209.6045 · pith_short_12: XW7XOZYH6RPW · pith_short_16: XW7XOZYH6RPWC4DH · pith_short_8: XW7XOZYH

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/XW7XOZYH6RPWC4DHCNNX7QV7BV \
  | 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: bdbf776707f45f617067135b7fc2bf0d6ed6982fbdc28b4024a9ce24f71de2b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6611e4848ec05273e3f81408f47ee00bba0f48d0899d87b0059170d0962d9638",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-26T19:46:24Z",
    "title_canon_sha256": "e90fc9b4a8afba65f6ff23ba28e0d3e20593b45719ccad9470739e38344f5815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6045",
    "kind": "arxiv",
    "version": 1
  }
}