Pith Number

pith:HTP4RZ6B

pith:2012:HTP4RZ6B5EN6BNQ453UVYK3FNO

not attested not anchored not stored refs pending

Full automorphism groups of association schemes based on attenuated spaces

Kaishun Wang, Wen Liu

arxiv:1210.6150 v1 · 2012-10-23 · 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{HTP4RZ6B5EN6BNQ453UVYK3FNO}

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	2026-05-18T03:42:33.078940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cdfc8e7c1e91be0b61ceee95c2b656b83e6cc35ecb74cd381c6a9c07492362b

Aliases

arxiv: 1210.6150 · arxiv_version: 1210.6150v1 · doi: 10.48550/arxiv.1210.6150 · pith_short_12: HTP4RZ6B5EN6 · pith_short_16: HTP4RZ6B5EN6BNQ4 · pith_short_8: HTP4RZ6B

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/HTP4RZ6B5EN6BNQ453UVYK3FNO \
  | 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: 3cdfc8e7c1e91be0b61ceee95c2b656b83e6cc35ecb74cd381c6a9c07492362b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c402a2cf89fc3c0aabc50735b27f97edb4bd75b245877a3ac77b6563b08650e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-23T07:32:14Z",
    "title_canon_sha256": "c41d6f76adfb48f567784b538c2ec3d49aafbe20cd8b648492919dbb1572a7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6150",
    "kind": "arxiv",
    "version": 1
  }
}