Pith Number

pith:D7PZ5FN2

pith:2019:D7PZ5FN2PGQRAIV3SC5TBMW7LY

not attested not anchored not stored refs pending

Counting Graph Homomorphisms Involving Complete Graphs

Cameron Sharpe, Jeffrey Beyerl

arxiv:1903.06766 v1 · 2019-03-15 · 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{D7PZ5FN2PGQRAIV3SC5TBMW7LY}

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	2026-05-17T23:51:09.098366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fdf9e95ba79a11022bb90bb30b2df5e2fb5828db0147b1716f6401e0bb31a61

Aliases

arxiv: 1903.06766 · arxiv_version: 1903.06766v1 · doi: 10.48550/arxiv.1903.06766 · pith_short_12: D7PZ5FN2PGQR · pith_short_16: D7PZ5FN2PGQRAIV3 · pith_short_8: D7PZ5FN2

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/D7PZ5FN2PGQRAIV3SC5TBMW7LY \
  | 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: 1fdf9e95ba79a11022bb90bb30b2df5e2fb5828db0147b1716f6401e0bb31a61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57add4d650d2857ce9e360b6ad881171b4969588d4029c08839be484743570ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-15T19:11:46Z",
    "title_canon_sha256": "e4efc9eec7f3d4821efb8c0031d0ead2bfae28bbf2d019dc3b192452dbf85294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06766",
    "kind": "arxiv",
    "version": 1
  }
}