Pith Number

pith:T5OKPIDD

pith:2015:T5OKPIDDHP2AMJ72XBWBYUJ67N

not attested not anchored not stored refs pending

On the number of Steiner triple systems S(2^m-1,3,2) of rank 2^m - m + 2 over GF(2)

Dmitrii Zinoviev

arxiv:1512.00187 v2 · 2015-12-01 · 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{T5OKPIDDHP2AMJ72XBWBYUJ67N}

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	2026-05-18T00:18:27.150525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f5ca7a0633bf40627fab86c1c513efb77aa86c26ff95ed80363b57c3e5ccc34

Aliases

arxiv: 1512.00187 · arxiv_version: 1512.00187v2 · doi: 10.48550/arxiv.1512.00187 · pith_short_12: T5OKPIDDHP2A · pith_short_16: T5OKPIDDHP2AMJ72 · pith_short_8: T5OKPIDD

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/T5OKPIDDHP2AMJ72XBWBYUJ67N \
  | 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: 9f5ca7a0633bf40627fab86c1c513efb77aa86c26ff95ed80363b57c3e5ccc34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "478c9da0ff0e316d08b2b8671e6d80ef686a1b8769951eb497ffb99f70f54602",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-01T09:30:51Z",
    "title_canon_sha256": "dfeed3de67c873df3344ca97aa527e94677b025837f7c49d2e8a37cf43c9ccf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00187",
    "kind": "arxiv",
    "version": 2
  }
}