Pith Number

pith:EHZQ2IT5

pith:2011:EHZQ2IT5VV2GA2EOPDX7L4HDUU

not attested not anchored not stored refs pending

Duality of translation association schemes coming from certain actions

Dae San Kim, Hyun Kwang Kim

arxiv:1108.4947 v1 · 2011-08-24 · 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{EHZQ2IT5VV2GA2EOPDX7L4HDUU}

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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

Codes and designs in multivariate $Q$-polynomial association schemes

Receipt and verification

First computed	2026-05-18T04:14:45.750416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21f30d227dad7460688e78eff5f0e3a52529f2a5adea1231f5ff5f4debea6cee

Aliases

arxiv: 1108.4947 · arxiv_version: 1108.4947v1 · doi: 10.48550/arxiv.1108.4947 · pith_short_12: EHZQ2IT5VV2G · pith_short_16: EHZQ2IT5VV2GA2EO · pith_short_8: EHZQ2IT5

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/EHZQ2IT5VV2GA2EOPDX7L4HDUU \
  | 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: 21f30d227dad7460688e78eff5f0e3a52529f2a5adea1231f5ff5f4debea6cee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70822e161095c27e1fc34a93ba7cd86b099d66c8cb766e97d9508799c571a083",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-24T20:38:52Z",
    "title_canon_sha256": "4c0ff8d76618b6f2cba5f7cb8e9e7f086bc6a4c558b06458c4ce9a1513f5c5c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4947",
    "kind": "arxiv",
    "version": 1
  }
}