Pith Number

pith:LGGMQ3WE

pith:2022:LGGMQ3WEKBXDROQLLBUK76PS3Z

not attested not anchored not stored refs pending

Tridiagonal pairs, alternating elements, and distance-regular graphs

Paul Terwilliger

arxiv:2207.07741 v1 · 2022-07-15 · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGGMQ3WEKBXDROQLLBUK76PS3Z}

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	2026-07-05T08:39:25.516310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

598cc86ec4506e38ba0b5868aff9f2de47c74de81fd8db40d4b8e81f66bb83cb

Aliases

arxiv: 2207.07741 · arxiv_version: 2207.07741v1 · doi: 10.48550/arxiv.2207.07741 · pith_short_12: LGGMQ3WEKBXD · pith_short_16: LGGMQ3WEKBXDROQL · pith_short_8: LGGMQ3WE

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/LGGMQ3WEKBXDROQLLBUK76PS3Z \
  | 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: 598cc86ec4506e38ba0b5868aff9f2de47c74de81fd8db40d4b8e81f66bb83cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60248e91d5e3066eb3c698328cd6f38df338ab82d9b981d7da1bc7418099a1f9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-07-15T20:32:06Z",
    "title_canon_sha256": "a5f21dbd697040b5e51ab58da4ff7640dbdccbb63619d1aa6bccd817fc9e6ec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.07741",
    "kind": "arxiv",
    "version": 1
  }
}