Pith Number

pith:CE4XEKYY

pith:2012:CE4XEKYYMSJLPBRJXVTUZIERC5

not attested not anchored not stored refs pending

Ramified Satake Isomorphisms for strongly parabolic characters

Masoud Kamgarpour, Travis Schedler

arxiv:1210.1051 v1 · 2012-10-03 · 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{CE4XEKYYMSJLPBRJXVTUZIERC5}

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	2026-05-18T03:44:05.669770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1139722b186492b78629bd674ca091177973e15bf4c8b4adcc38febd5a18762c

Aliases

arxiv: 1210.1051 · arxiv_version: 1210.1051v1 · doi: 10.48550/arxiv.1210.1051 · pith_short_12: CE4XEKYYMSJL · pith_short_16: CE4XEKYYMSJLPBRJ · pith_short_8: CE4XEKYY

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/CE4XEKYYMSJLPBRJXVTUZIERC5 \
  | 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: 1139722b186492b78629bd674ca091177973e15bf4c8b4adcc38febd5a18762c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88e1151f8734e3c8fa09af1a29bb5187103a9d1598dbfead26aec6087760046d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-10-03T09:54:37Z",
    "title_canon_sha256": "b61690b7fd26261e5ff777c040fa400dec0c552e5f535726df1321f89df5876d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1051",
    "kind": "arxiv",
    "version": 1
  }
}