Pith Number

pith:PQ4TKEAL

pith:2015:PQ4TKEALKPZZXYEPBISW5TVR54

not attested not anchored not stored refs pending

There is no strongly regular graph with parameters (460,153,32,60)

A. Mellit, A. Prymak, A. V. Bondarenko, D. Radchenko, M. Viazovska

arxiv:1509.06286 v2 · 2015-09-21 · 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{PQ4TKEALKPZZXYEPBISW5TVR54}

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	2026-05-18T00:46:08.417114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c3935100b53f39be08f0a256eceb1ef137c5e5777a86552fbacdeec8b52a31f

Aliases

arxiv: 1509.06286 · arxiv_version: 1509.06286v2 · doi: 10.48550/arxiv.1509.06286 · pith_short_12: PQ4TKEALKPZZ · pith_short_16: PQ4TKEALKPZZXYEP · pith_short_8: PQ4TKEAL

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/PQ4TKEALKPZZXYEPBISW5TVR54 \
  | 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: 7c3935100b53f39be08f0a256eceb1ef137c5e5777a86552fbacdeec8b52a31f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ece02fc3854ad0d8cf3db6cbfe4a3b0623ca83205c51655dadd652288c92f6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-21T16:10:31Z",
    "title_canon_sha256": "c3fa20965b7e78140a4464b7c97cdda3105ac7d8bddb432a70c9a407d86653cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06286",
    "kind": "arxiv",
    "version": 2
  }
}