Pith Number

pith:LWY535OP

pith:2016:LWY535OP335ZG3UOVAVPNOLJVQ

not attested not anchored not stored refs pending

Small minimal $(3, 3)$-Ramsey graphs

Aleksandar Bikov

arxiv:1604.03716 v1 · 2016-04-13 · 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{LWY535OP335ZG3UOVAVPNOLJVQ}

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	2026-05-17T23:50:07.670532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5db1ddf5cfdefb936e8ea82af6b969ac3e7e829652103041c7df50328af4fb75

Aliases

arxiv: 1604.03716 · arxiv_version: 1604.03716v1 · doi: 10.48550/arxiv.1604.03716 · pith_short_12: LWY535OP335Z · pith_short_16: LWY535OP335ZG3UO · pith_short_8: LWY535OP

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/LWY535OP335ZG3UOVAVPNOLJVQ \
  | 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: 5db1ddf5cfdefb936e8ea82af6b969ac3e7e829652103041c7df50328af4fb75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1175214dd0d2ebc9321f51a46f8b89ee26d366aeb1e1f38a1c61e02c21c7ed63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-13T10:40:39Z",
    "title_canon_sha256": "7fc322d2a76bbdd92e510f9076530dcaa40491c991a2036b3f4b151517d8a9a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03716",
    "kind": "arxiv",
    "version": 1
  }
}