Pith Number

pith:W4UAEZEP

pith:2023:W4UAEZEP6QN6OM6F7KEPBREMQZ

not attested not anchored not stored refs pending

Totally Ramified Maximal Tori and Bruhat-Tits theory

Stephen DeBacker

arxiv:2309.09049 v2 · 2023-09-16 · math.RT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4UAEZEP6QN6OM6F7KEPBREMQZ}

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.

Cited by

1 paper in Pith

Langlands parameters for Moy-Prasad types

Receipt and verification

First computed	2026-07-05T09:06:55.036211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b72802648ff41be733c5fa88f0c48c8663eca0ed71f351c8e57cdf2645a0dcc0

Aliases

arxiv: 2309.09049 · arxiv_version: 2309.09049v2 · doi: 10.48550/arxiv.2309.09049 · pith_short_12: W4UAEZEP6QN6 · pith_short_16: W4UAEZEP6QN6OM6F · pith_short_8: W4UAEZEP

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/W4UAEZEP6QN6OM6F7KEPBREMQZ \
  | 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: b72802648ff41be733c5fa88f0c48c8663eca0ed71f351c8e57cdf2645a0dcc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f0f078f7f0c5ca8db8c5bb764c733249983738a4e984b617e581e1c21b6bf46",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2023-09-16T17:15:45Z",
    "title_canon_sha256": "1bd23a25a70e974b579381e59c67490e8b8fa1207798d2f249758fafa5670e47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.09049",
    "kind": "arxiv",
    "version": 2
  }
}