Pith Number

pith:C6A57WW7

pith:2026:C6A57WW73AVLY5A256NOLHJHIE

not attested not anchored not stored refs pending

Representation theory of the real Gelfand order and real Harish-Chandra modules for $\mathsf{SL}_2(\mathbbm{R})$

Igor Burban, Yuriy Drozd

arxiv:2605.18000 v1 · 2026-05-18 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C6A57WW73AVLY5A256NOLHJHIE}

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	2026-05-20T00:05:10.451199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1781dfdadfd82abc741aef9ae59d27411749ccecb1556d1a741b665774d396b6

Aliases

arxiv: 2605.18000 · arxiv_version: 2605.18000v1 · doi: 10.48550/arxiv.2605.18000 · pith_short_12: C6A57WW73AVL · pith_short_16: C6A57WW73AVLY5A2 · pith_short_8: C6A57WW7

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/C6A57WW73AVLY5A256NOLHJHIE \
  | 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: 1781dfdadfd82abc741aef9ae59d27411749ccecb1556d1a741b665774d396b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9665c88a0d4e714cb0aa3786ab6667afd103694048838528fb7e1ecbe7828875",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-05-18T07:53:19Z",
    "title_canon_sha256": "3ec4674529b8645289b9895c7d19507a693c4076b7c2608ed15b9edb2207cfa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18000",
    "kind": "arxiv",
    "version": 1
  }
}