Pith Number

pith:EQUBPXZI

pith:2012:EQUBPXZIME5QYSD4EBKE3SW7QB

not attested not anchored not stored refs pending

Uniquely K_r-Saturated Graphs

Derrick Stolee, Stephen G. Hartke

arxiv:1203.1084 v1 · 2012-03-06 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQUBPXZIME5QYSD4EBKE3SW7QB}

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	2026-05-18T04:00:48.833295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

242817df28613b0c487c20544dcadf8079851666c076f5946d54934c12fada83

Aliases

arxiv: 1203.1084 · arxiv_version: 1203.1084v1 · doi: 10.48550/arxiv.1203.1084 · pith_short_12: EQUBPXZIME5Q · pith_short_16: EQUBPXZIME5QYSD4 · pith_short_8: EQUBPXZI

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/EQUBPXZIME5QYSD4EBKE3SW7QB \
  | 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: 242817df28613b0c487c20544dcadf8079851666c076f5946d54934c12fada83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40e11c645d0b73cfba69b27307e3818382bce85909f1038d480d42ef88c8b385",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-06T01:47:45Z",
    "title_canon_sha256": "190aac596e5bf3db6591a9f0e2dd5cfd66c1003a4675338965f826de7be3516a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1084",
    "kind": "arxiv",
    "version": 1
  }
}