Pith Number

pith:WLGHU6XE

pith:2011:WLGHU6XEY3DHHUPQD3O2PHSWIU

not attested not anchored not stored refs pending

On the cuspidal representations of ${\rm GL}_2(F)$ of level 1 or 1/2 in the cohomology of the Lubin-Tate space $\mathcal{X}(\pi^2)$

Takahiro Tsushima, Tetsushi Ito, Yoichi Mieda

arxiv:1109.5265 v1 · 2011-09-24 · 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{WLGHU6XEY3DHHUPQD3O2PHSWIU}

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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	2026-05-18T04:12:20.209622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2cc7a7ae4c6c673d1f01edda79e56450201cd47a0727acdfe99a5c392d7961c

Aliases

arxiv: 1109.5265 · arxiv_version: 1109.5265v1 · doi: 10.48550/arxiv.1109.5265 · pith_short_12: WLGHU6XEY3DH · pith_short_16: WLGHU6XEY3DHHUPQ · pith_short_8: WLGHU6XE

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/WLGHU6XEY3DHHUPQD3O2PHSWIU \
  | 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: b2cc7a7ae4c6c673d1f01edda79e56450201cd47a0727acdfe99a5c392d7961c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3df30644865473d8c5e7641ae16e9fbfa5a450852c7f9225e8b1a4f5c08e083",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-24T13:30:51Z",
    "title_canon_sha256": "614503cc144585e414a76cde135bcc178d82e0a4367fa59d6c5b55925de6aef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5265",
    "kind": "arxiv",
    "version": 1
  }
}