Pith Number

pith:4RMQETBO

pith:2017:4RMQETBOYP4BM3VOC5PTY2NGEY

not attested not anchored not stored refs pending

Symmetry breaking for representations of rank one orthogonal groups II

Birgit Speh, Toshiyuki Kobayashi

arxiv:1801.00158 v2 · 2017-12-30 · math.RT · math.CA · 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{4RMQETBOYP4BM3VOC5PTY2NGEY}

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	2026-05-17T23:49:17.840456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e459024c2ec3f8166eae175f3c69a626165496da66b310921d7519e66f71c89a

Aliases

arxiv: 1801.00158 · arxiv_version: 1801.00158v2 · doi: 10.48550/arxiv.1801.00158 · pith_short_12: 4RMQETBOYP4B · pith_short_16: 4RMQETBOYP4BM3VO · pith_short_8: 4RMQETBO

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/4RMQETBOYP4BM3VOC5PTY2NGEY \
  | 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: e459024c2ec3f8166eae175f3c69a626165496da66b310921d7519e66f71c89a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa9756820acea07b46167a4adc28776f914f5cd003eed1d5d54284f324e9fbbf",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-12-30T17:26:41Z",
    "title_canon_sha256": "1c1cb511128ac7bd1d747ae6f217706d9a1f968961ab1466d6d95093c138c19a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00158",
    "kind": "arxiv",
    "version": 2
  }
}