Pith Number

pith:R4CWPNNG

pith:2016:R4CWPNNGTGTHHSO5I452LPCGVK

not attested not anchored not stored refs pending

An Improved Lower Bound for $n$-Brinkhuis $k$-Triples

Craig C. Douglas, Manfred Liebmann, Michael Sollami

arxiv:1606.00835 v2 · 2016-06-02 · math.CO · cs.FL

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4CWPNNGTGTHHSO5I452LPCGVK}

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	2026-05-18T01:12:54.519153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f0567b5a699a673c9dd473ba5bc46aaa6e17a847a2eb79c2e6a69162208619d

Aliases

arxiv: 1606.00835 · arxiv_version: 1606.00835v2 · doi: 10.48550/arxiv.1606.00835 · pith_short_12: R4CWPNNGTGTH · pith_short_16: R4CWPNNGTGTHHSO5 · pith_short_8: R4CWPNNG

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/R4CWPNNGTGTHHSO5I452LPCGVK \
  | 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: 8f0567b5a699a673c9dd473ba5bc46aaa6e17a847a2eb79c2e6a69162208619d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "357570726f32a1fda8c344da14bdd8313e1ef6db99a616fe826c357bd9dd7146",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-02T03:10:48Z",
    "title_canon_sha256": "33465acb81e7b8b36d133ddde98f62c6958cbe8025ab4d2c53b6375a0c8bcc06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00835",
    "kind": "arxiv",
    "version": 2
  }
}