Pith Number

pith:SDPUPY5K

pith:2013:SDPUPY5KXDBZCTCEHQJSWD6D3C

not attested not anchored not stored refs pending

Polynomial properties on large symmetric association schemes

Hiroshi Nozaki

arxiv:1305.2539 v3 · 2013-05-11 · 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{SDPUPY5KXDBZCTCEHQJSWD6D3C}

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	2026-05-18T02:18:50.136253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90df47e3aab8c3914c443c132b0fc3d8b614bc3c7af844305a3c4237f90bb6d5

Aliases

arxiv: 1305.2539 · arxiv_version: 1305.2539v3 · doi: 10.48550/arxiv.1305.2539 · pith_short_12: SDPUPY5KXDBZ · pith_short_16: SDPUPY5KXDBZCTCE · pith_short_8: SDPUPY5K

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/SDPUPY5KXDBZCTCEHQJSWD6D3C \
  | 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: 90df47e3aab8c3914c443c132b0fc3d8b614bc3c7af844305a3c4237f90bb6d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e511874a921892004c0cd782df6d5502915f6d843e2a3d8a82eaca55f847ebb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-11T20:28:10Z",
    "title_canon_sha256": "a534cf8822bed3ce34af18dba8c543da58b5c973b51be5a948bd29b5496dc8c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2539",
    "kind": "arxiv",
    "version": 3
  }
}