Pith Number

pith:TX6LBPQB

pith:2013:TX6LBPQBK4CIPVSCB2TNL2OE7N

not attested not anchored not stored refs pending

Classification of finite-multiplicity symmetric pairs

Toshihiko Matsuki, Toshiyuki Kobayashi

arxiv:1312.4246 v2 · 2013-12-16 · math.RT · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TX6LBPQBK4CIPVSCB2TNL2OE7N}

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	2026-05-18T02:52:14.145427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dfcb0be01570487d6420ea6d5e9c4fb71ca6ff3b0e757d6a1c43a864b9ac078

Aliases

arxiv: 1312.4246 · arxiv_version: 1312.4246v2 · doi: 10.48550/arxiv.1312.4246 · pith_short_12: TX6LBPQBK4CI · pith_short_16: TX6LBPQBK4CIPVSC · pith_short_8: TX6LBPQB

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/TX6LBPQBK4CIPVSCB2TNL2OE7N \
  | 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: 9dfcb0be01570487d6420ea6d5e9c4fb71ca6ff3b0e757d6a1c43a864b9ac078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47afd6eafcf247f3038d2d5cc8ca7ca201f3f770bb96a6b153d5f87c9fe2a8c7",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-12-16T04:44:59Z",
    "title_canon_sha256": "dac8dcd02c83ee5643bd745554c3582dff42cc62bbd89a910ee5b4c9e55622e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4246",
    "kind": "arxiv",
    "version": 2
  }
}