Pith Number

pith:VVJ3TLP5

pith:2018:VVJ3TLP5NNWASH3FD7DM7LIAI2

not attested not anchored not stored refs pending

Triple systems with no three triples spanning at most five points

Stefan Glock

arxiv:1809.02100 v1 · 2018-09-06 · 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{VVJ3TLP5NNWASH3FD7DM7LIAI2}

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	2026-05-17T23:59:05.385506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad53b9adfd6b6c091f651fc6cfad004689785c8be0a45d5ac2dc8a7204ad238b

Aliases

arxiv: 1809.02100 · arxiv_version: 1809.02100v1 · doi: 10.48550/arxiv.1809.02100 · pith_short_12: VVJ3TLP5NNWA · pith_short_16: VVJ3TLP5NNWASH3F · pith_short_8: VVJ3TLP5

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/VVJ3TLP5NNWASH3FD7DM7LIAI2 \
  | 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: ad53b9adfd6b6c091f651fc6cfad004689785c8be0a45d5ac2dc8a7204ad238b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffe46a2b6cc9d180adb503398e768b8e9e94aeecfbd12bba9020ba98c4282d11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-06T17:16:52Z",
    "title_canon_sha256": "8b5b67bf4ba87e13dc5ed9d103dc728d5b8173e7291e60afdb2a23ceef796c29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02100",
    "kind": "arxiv",
    "version": 1
  }
}