Pith Number

pith:ETLSG6L2

pith:2005:ETLSG6L2M7B5H46F2XO6PXPAM5

not attested not anchored not stored refs pending

The Terwilliger algebra of an almost-bipartite P- and Q-polynomial association scheme

John S. Caughman, Mark S. MacLean, Paul M. Terwilliger

arxiv:math/0508401 v1 · 2005-08-22 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ETLSG6L2M7B5H46F2XO6PXPAM5}

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	2026-07-04T14:40:19.472842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24d723797a67c3d3f3c5d5dde7dde06773a220b3ca8f0f96cd39679fbacafe6b

Aliases

arxiv: math/0508401 · arxiv_version: math/0508401v1 · doi: 10.48550/arxiv.math/0508401 · pith_short_12: ETLSG6L2M7B5 · pith_short_16: ETLSG6L2M7B5H46F · pith_short_8: ETLSG6L2

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/ETLSG6L2M7B5H46F2XO6PXPAM5 \
  | 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: 24d723797a67c3d3f3c5d5dde7dde06773a220b3ca8f0f96cd39679fbacafe6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e934406380d4ecb9a1daf1d42e7616dd9f12bd7e9b3bd45d7e09615b2c88f02",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-08-22T00:37:57Z",
    "title_canon_sha256": "9977feed759d70d3fb45d96ec133e8112bbeaabd1b8f29729e073d64a03e1423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508401",
    "kind": "arxiv",
    "version": 1
  }
}