Pith Number

pith:JP32HFAN

pith:2026:JP32HFANVP6KG3FWLX2SRKLL5E

not attested not anchored not stored refs pending

The Aubert and Bernstein involutions for disconnected groups

Tasho Kaletha, Yongshen Cheng

arxiv:2607.10660 v1 · 2026-07-12 · math.RT · 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{JP32HFANVP6KG3FWLX2SRKLL5E}

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	2026-07-14T01:21:33.128907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bf7a3940dabfca36cb65df528a96be930d5bc628ad8b889177dfccc0387e175

Aliases

arxiv: 2607.10660 · arxiv_version: 2607.10660v1 · doi: 10.48550/arxiv.2607.10660 · pith_short_12: JP32HFANVP6K · pith_short_16: JP32HFANVP6KG3FW · pith_short_8: JP32HFAN

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/JP32HFANVP6KG3FWLX2SRKLL5E \
  | 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: 4bf7a3940dabfca36cb65df528a96be930d5bc628ad8b889177dfccc0387e175

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d70747d8c4ec28ef6637add1e837196394fb2a8d5158d3e86da52e192e4103a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-07-12T09:01:37Z",
    "title_canon_sha256": "7d26db0b67f825f81caaa9d87812797713c71e5d3ff3281002a72f3326e9022f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10660",
    "kind": "arxiv",
    "version": 1
  }
}