Pith Number

pith:VFNXSHVQ

pith:2006:VFNXSHVQ5PPBKDBTFAIGK5FIJD

not attested not anchored not stored refs pending

The Tetrahedron algebra and its finite-dimensional irreducible modules

Brian Hartwig

arxiv:math/0606197 v1 · 2006-06-08 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFNXSHVQ5PPBKDBTFAIGK5FIJD}

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.

Cited by

1 paper in Pith

Raising and lowering maps for tridiagonal pairs

Receipt and verification

First computed	2026-07-04T14:55:29.678062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a95b791eb0ebde150c3328106574a848fe52ed572bd5515e39e9815592892f2a

Aliases

arxiv: math/0606197 · arxiv_version: math/0606197v1 · doi: 10.48550/arxiv.math/0606197 · pith_short_12: VFNXSHVQ5PPB · pith_short_16: VFNXSHVQ5PPBKDBT · pith_short_8: VFNXSHVQ

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/VFNXSHVQ5PPBKDBTFAIGK5FIJD \
  | 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: a95b791eb0ebde150c3328106574a848fe52ed572bd5515e39e9815592892f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc15a48abdae79cbddfbbf99a5296ed526eb4d9525fe0762f5d3be8948f1dfe9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2006-06-08T17:07:03Z",
    "title_canon_sha256": "e80859eb20c14fa52d1fd49f22d5e2953ae6fc689746c8ca6928599873fe934a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606197",
    "kind": "arxiv",
    "version": 1
  }
}