Pith Number

pith:GPBQ2KP3

pith:2018:GPBQ2KP36ZHKA2IDX6KYGGU6OF

not attested not anchored not stored refs pending

General Equitable Decompositions for Graphs with Symmetries

Amanda Francis, Benjamin Webb, Dallas Smith

arxiv:1809.07186 v2 · 2018-09-18 · 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{GPBQ2KP36ZHKA2IDX6KYGGU6OF}

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	2026-05-18T00:05:13.374416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33c30d29fbf64ea06903bf95831a9e71506f5f702b94486c9ff1e0803ec5a341

Aliases

arxiv: 1809.07186 · arxiv_version: 1809.07186v2 · doi: 10.48550/arxiv.1809.07186 · pith_short_12: GPBQ2KP36ZHK · pith_short_16: GPBQ2KP36ZHKA2ID · pith_short_8: GPBQ2KP3

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/GPBQ2KP36ZHKA2IDX6KYGGU6OF \
  | 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: 33c30d29fbf64ea06903bf95831a9e71506f5f702b94486c9ff1e0803ec5a341

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6468ca4ca785ffd20a1f376140a9d94d762d983e9d0059a89b67e7f6e5e9b28c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-18T02:36:10Z",
    "title_canon_sha256": "72e05b6d8a36c43a8ae70e9187a6c4102bca3c42407fa101daed7504c02f6801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07186",
    "kind": "arxiv",
    "version": 2
  }
}