Pith Number

pith:XMBURYNP

pith:2011:XMBURYNPGM5CXTI5BO7DXIR75R

not attested not anchored not stored refs pending

Principal representations of SO(p,p+1)

Genkai Zhang, Veronique Fischer

arxiv:1108.3338 v2 · 2011-08-16 · 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{XMBURYNPGM5CXTI5BO7DXIR75R}

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	2026-05-18T03:53:42.457774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0348e1af333a2bcd1d0bbe3ba23fec5900f56ff00689b30643ab22861afd01

Aliases

arxiv: 1108.3338 · arxiv_version: 1108.3338v2 · doi: 10.48550/arxiv.1108.3338 · pith_short_12: XMBURYNPGM5C · pith_short_16: XMBURYNPGM5CXTI5 · pith_short_8: XMBURYNP

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/XMBURYNPGM5CXTI5BO7DXIR75R \
  | 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: bb0348e1af333a2bcd1d0bbe3ba23fec5900f56ff00689b30643ab22861afd01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74aa5258e6a1595db5128578330c4d60d320b03260f9a19f638eb9f032cf264e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-08-16T20:00:23Z",
    "title_canon_sha256": "51bc1ecf09a65d4bad81da18139e28d9d5e2ae300286a4c7b6d261c741bfeae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3338",
    "kind": "arxiv",
    "version": 2
  }
}