Pith Number

pith:CD5S5QLZ

pith:2016:CD5S5QLZNFCA22VP5HKKHCHFQY

not attested not anchored not stored refs pending

The 2-Ranking Numbers of Graphs

Andrew Kallmeyer, Jordan Almeter, Kevin G. Milans, Robert Winslow, Samet Demircan

arxiv:1607.07132 v1 · 2016-07-25 · 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{CD5S5QLZNFCA22VP5HKKHCHFQY}

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	2026-05-18T01:10:34.669345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10fb2ec17969440d6aafe9d4a388e586300094e0dd259602554140e5dae6430f

Aliases

arxiv: 1607.07132 · arxiv_version: 1607.07132v1 · doi: 10.48550/arxiv.1607.07132 · pith_short_12: CD5S5QLZNFCA · pith_short_16: CD5S5QLZNFCA22VP · pith_short_8: CD5S5QLZ

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/CD5S5QLZNFCA22VP5HKKHCHFQY \
  | 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: 10fb2ec17969440d6aafe9d4a388e586300094e0dd259602554140e5dae6430f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f59c0a71ab5a10ff90efc05eb226e869a9903340625adff2079090e3415596f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-25T03:15:28Z",
    "title_canon_sha256": "b888d14132b93a620ea7f4a0e40367d35ea4e98ae50e98244374955afaf9bd46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07132",
    "kind": "arxiv",
    "version": 1
  }
}