Pith Number

pith:POZLOZIO

pith:2017:POZLOZIOAKCEVQNAXYPNZEWIXS

not attested not anchored not stored refs pending

Residue formula for regular symmetry breaking operators

Toshiyuki Kobayashi

arxiv:1709.05035 v1 · 2017-09-15 · math.RT · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POZLOZIOAKCEVQNAXYPNZEWIXS}

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	2026-05-17T23:49:17.954741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bb2b7650e02844ac1a0be1edc92c8bc927d045d1a9d992599e73ce7e65dbcdf

Aliases

arxiv: 1709.05035 · arxiv_version: 1709.05035v1 · doi: 10.48550/arxiv.1709.05035 · pith_short_12: POZLOZIOAKCE · pith_short_16: POZLOZIOAKCEVQNA · pith_short_8: POZLOZIO

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/POZLOZIOAKCEVQNAXYPNZEWIXS \
  | 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: 7bb2b7650e02844ac1a0be1edc92c8bc927d045d1a9d992599e73ce7e65dbcdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0998d4fa1740d11a991cbfed7fdcd3ea007935aafc29a8c4241d30ab9c5d2189",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-09-15T02:21:00Z",
    "title_canon_sha256": "041d0d1fc2d3e3b0f138708e5dd4fdfadb882a740522282cc76daeba03b18b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05035",
    "kind": "arxiv",
    "version": 1
  }
}