Pith Number

pith:IH2MUY7U

pith:2016:IH2MUY7ULIXJEINW2UZZ6JHGHT

not attested not anchored not stored refs pending

Unipotent representations and the dual pair correspondence

Dan Barbasch

arxiv:1609.08998 v1 · 2016-09-28 · 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{IH2MUY7ULIXJEINW2UZZ6JHGHT}

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	2026-05-18T01:03:41.435521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41f4ca63f45a2e9221b6d5339f24e63cf4c8575cb0175f114bcb44382d97e8bf

Aliases

arxiv: 1609.08998 · arxiv_version: 1609.08998v1 · doi: 10.48550/arxiv.1609.08998 · pith_short_12: IH2MUY7ULIXJ · pith_short_16: IH2MUY7ULIXJEINW · pith_short_8: IH2MUY7U

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/IH2MUY7ULIXJEINW2UZZ6JHGHT \
  | 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: 41f4ca63f45a2e9221b6d5339f24e63cf4c8575cb0175f114bcb44382d97e8bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8265a0ffc4200f447e2c563e7e7e12a5d54c30f2e11724f0c3915f985725ec7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-09-28T16:36:17Z",
    "title_canon_sha256": "0354e63b761ef2b8a9c0b0166195d52f7b78ff855b4d6750ce95a83048046f4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08998",
    "kind": "arxiv",
    "version": 1
  }
}