Pith Number

pith:PFQO6765

pith:2019:PFQO6765NVFV7YWN2WFHFHAS4W

not attested not anchored not stored refs pending

Some $q$-exponential formulas involving the double lowering operator $\psi$ for a tridiagonal pair

Sarah Bockting-Conrad

arxiv:1907.01157 v2 · 2019-07-02 · 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{PFQO6765NVFV7YWN2WFHFHAS4W}

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	2026-07-04T23:51:45.549653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7960ef7fdd6d4b5fe2cdd58a729c12e5ab522e1deba8cd21cf391159e9a74af4

Aliases

arxiv: 1907.01157 · arxiv_version: 1907.01157v2 · doi: 10.48550/arxiv.1907.01157 · pith_short_12: PFQO6765NVFV · pith_short_16: PFQO6765NVFV7YWN · pith_short_8: PFQO6765

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/PFQO6765NVFV7YWN2WFHFHAS4W \
  | 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: 7960ef7fdd6d4b5fe2cdd58a729c12e5ab522e1deba8cd21cf391159e9a74af4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36ea3387d98f33cf01c04eb45ebd48dd1f22926227091852eaf0699fbe7eb742",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-07-02T04:19:43Z",
    "title_canon_sha256": "1c360f342b79694602c02e4a5513c33143f00ba652a1b83f3c808ae33a0d9526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01157",
    "kind": "arxiv",
    "version": 2
  }
}