Pith Number

pith:KRSNEZ3Y

pith:2009:KRSNEZ3YSSUXWHX5BLK7LJQTEJ

not attested not anchored not stored refs pending

Erlangen Program at Large-2.5: Induced Representations and Hypercomplex Numbers

Vladimir V. Kisil

arxiv:0909.4464 v6 · 2009-09-24 · math.RT · math.CV · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRSNEZ3YSSUXWHX5BLK7LJQTEJ}

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	2026-05-18T01:23:59.320508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5464d2677894a97b1efd0ad5f5a6132270e5158d80c8d1ea4047a1411e634e07

Aliases

arxiv: 0909.4464 · arxiv_version: 0909.4464v6 · doi: 10.48550/arxiv.0909.4464 · pith_short_12: KRSNEZ3YSSUX · pith_short_16: KRSNEZ3YSSUXWHX5 · pith_short_8: KRSNEZ3Y

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/KRSNEZ3YSSUXWHX5BLK7LJQTEJ \
  | 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: 5464d2677894a97b1efd0ad5f5a6132270e5158d80c8d1ea4047a1411e634e07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05aeed1c41d32288c0489402a9a12022833c95e1073dbbaa133b2c32a035fadf",
    "cross_cats_sorted": [
      "math.CV",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-09-24T14:53:39Z",
    "title_canon_sha256": "c8c5361ca9453553159cf88ce9d031fe3d279422d04752d2a4d372fd55978e7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4464",
    "kind": "arxiv",
    "version": 6
  }
}