Pith Number

pith:TH776UTQ

pith:2017:TH776UTQWYRC7EGJFT4DN4EOOC

not attested not anchored not stored refs pending

Graphs with girth at least 5 with orders between 20 and 32

Alice Miller, Michael Codish

arxiv:1708.06576 v2 · 2017-08-22 · 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{TH776UTQWYRC7EGJFT4DN4EOOC}

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	2026-05-18T00:36:49.090009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99ffff5270b6222f90c92cf836f08e70a7eedb80d77918267b6d5355e7e2e7e1

Aliases

arxiv: 1708.06576 · arxiv_version: 1708.06576v2 · doi: 10.48550/arxiv.1708.06576 · pith_short_12: TH776UTQWYRC · pith_short_16: TH776UTQWYRC7EGJ · pith_short_8: TH776UTQ

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/TH776UTQWYRC7EGJFT4DN4EOOC \
  | 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: 99ffff5270b6222f90c92cf836f08e70a7eedb80d77918267b6d5355e7e2e7e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84bd916525e1cbe6ca6ae78d8d7560f0853da5af20f0d5d27bca29cb0498337e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-22T12:18:24Z",
    "title_canon_sha256": "5eab7f27973732e6d975e521b2c1494739da67304929849e671840ab09d4b08a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06576",
    "kind": "arxiv",
    "version": 2
  }
}