Pith Number

pith:AIIANBRP

pith:2019:AIIANBRPSK5GZE4I25XXEJE2XM

not attested not anchored not stored refs pending

Smallest graphs achieving the Stinson bound

Mate Gyarmati, Peter Ligeti

arxiv:1906.11598 v1 · 2019-06-27 · cs.CR · 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{AIIANBRPSK5GZE4I25XXEJE2XM}

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	2026-05-17T23:42:04.361764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

021006862f92ba6c9388d76f72249abb01360b31ece42ec0fdb14f95f55abcb6

Aliases

arxiv: 1906.11598 · arxiv_version: 1906.11598v1 · doi: 10.48550/arxiv.1906.11598 · pith_short_12: AIIANBRPSK5G · pith_short_16: AIIANBRPSK5GZE4I · pith_short_8: AIIANBRP

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/AIIANBRPSK5GZE4I25XXEJE2XM \
  | 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: 021006862f92ba6c9388d76f72249abb01360b31ece42ec0fdb14f95f55abcb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bca8f75a76542db1b15518e98c554c9ebe0eecf8dc000b89b5c22dbdcf780c9a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2019-06-27T13:01:57Z",
    "title_canon_sha256": "430560e364ae8db765fe0a7f0f54aa9c4c7158d7f90983cb7564dab9d5fe9fa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11598",
    "kind": "arxiv",
    "version": 1
  }
}