Pith Number

pith:NQ33G55S

pith:2015:NQ33G55SWRC4IDMGMUL7XOI2TN

not attested not anchored not stored refs pending

Association schemes in which the thin residue is an elementary abelian $p$-group of rank $2$

Kijung Kim, Mitsugu Hirasaka

arxiv:1505.02455 v4 · 2015-05-10 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQ33G55SWRC4IDMGMUL7XOI2TN}

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	2026-05-18T01:28:14.304587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c37b377b2b445c40d866517fbb91a9b6f8298a45256d5166d2d1abb31a96d21

Aliases

arxiv: 1505.02455 · arxiv_version: 1505.02455v4 · doi: 10.48550/arxiv.1505.02455 · pith_short_12: NQ33G55SWRC4 · pith_short_16: NQ33G55SWRC4IDMG · pith_short_8: NQ33G55S

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/NQ33G55SWRC4IDMGMUL7XOI2TN \
  | 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: 6c37b377b2b445c40d866517fbb91a9b6f8298a45256d5166d2d1abb31a96d21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be0e24800d3ae5adee23c9ddf2d303c43070678fcd2636ee562a2106cf2efdc2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-10T23:24:44Z",
    "title_canon_sha256": "38d9d9461cbcebf33ad62c41a91d4de562cdbd2b0dd765cb4a11fb4fdbc99963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02455",
    "kind": "arxiv",
    "version": 4
  }
}