Pith Number

pith:5A77ATSD

pith:2009:5A77ATSD3DQDBUIXTJOLSPPAKJ

not attested not anchored not stored refs pending

$q$-Analogs for Steiner Systems and Covering Designs

Alexander Vardy, Tuvi Etzion

arxiv:0912.1503 v2 · 2009-12-08 · 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{5A77ATSD3DQDBUIXTJOLSPPAKJ}

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	2026-05-18T02:24:45.846656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e83ff04e43d8e030d1179a5cb93de05264cbf3f85c3942778a88aba23f04978d

Aliases

arxiv: 0912.1503 · arxiv_version: 0912.1503v2 · doi: 10.48550/arxiv.0912.1503 · pith_short_12: 5A77ATSD3DQD · pith_short_16: 5A77ATSD3DQDBUIX · pith_short_8: 5A77ATSD

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/5A77ATSD3DQDBUIXTJOLSPPAKJ \
  | 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: e83ff04e43d8e030d1179a5cb93de05264cbf3f85c3942778a88aba23f04978d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b01b4a6366053bf87d9b19359968bb536cb2b58825473e010b4c0bfff8ad46c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-12-08T14:20:03Z",
    "title_canon_sha256": "d1d4ea413c6365f827b93befaeea332dbe9dbf683557d01e922e7c6777bffad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1503",
    "kind": "arxiv",
    "version": 2
  }
}