Pith Number

pith:GADGLDIR

pith:2020:GADGLDIRWPCSJVELV2GTI4CLBE

not attested not anchored not stored refs pending

Enumerating the Digitally Convex Sets of Powers of Cycles and Cartesian Products of Paths and Complete Graphs

Christina M. Mynhardt, MacKenzie Carr, Ortrud R. Oellermann

arxiv:2008.02781 v1 · 2020-08-06 · 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{GADGLDIRWPCSJVELV2GTI4CLBE}

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	2026-07-05T01:25:19.353213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3006658d11b3c524d48bae8d34704b091c627e01dfec0afa8f40c0bea0721de3

Aliases

arxiv: 2008.02781 · arxiv_version: 2008.02781v1 · doi: 10.48550/arxiv.2008.02781 · pith_short_12: GADGLDIRWPCS · pith_short_16: GADGLDIRWPCSJVEL · pith_short_8: GADGLDIR

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/GADGLDIRWPCSJVELV2GTI4CLBE \
  | 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: 3006658d11b3c524d48bae8d34704b091c627e01dfec0afa8f40c0bea0721de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca8043c7cc39a5fb9b6de6a893f3d28d1a7f739e12124b43c77c764be4d2b14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-08-06T17:33:39Z",
    "title_canon_sha256": "9f6259df1486a70aad6adaf1a58bd819096b865b54c33b34cfb9c4e1686294e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.02781",
    "kind": "arxiv",
    "version": 1
  }
}