Pith Number

pith:VFENLUD7

pith:2020:VFENLUD7T5SURF5S5454R7EVUX

not attested not anchored not stored refs pending

Generalized Paley graphs and their complete subgraphs of orders three and four

Dermot McCarthy, Madeline Locus Dawsey

arxiv:2006.14716 v1 · 2020-06-25 · math.NT · 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{VFENLUD7T5SURF5S5454R7EVUX}

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	2026-07-05T04:32:47.566758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a948d5d07f9f654897b2ef3bc8fc95a5c4195c7a55c5f268c7a29623a0587bec

Aliases

arxiv: 2006.14716 · arxiv_version: 2006.14716v1 · doi: 10.48550/arxiv.2006.14716 · pith_short_12: VFENLUD7T5SU · pith_short_16: VFENLUD7T5SURF5S · pith_short_8: VFENLUD7

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/VFENLUD7T5SURF5S5454R7EVUX \
  | 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: a948d5d07f9f654897b2ef3bc8fc95a5c4195c7a55c5f268c7a29623a0587bec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a43d567050c7d8aa17e3c77ccf0b70c45d54012d1ac9bdbdddd6b1999b8e619",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-06-25T22:13:43Z",
    "title_canon_sha256": "e53ac508a8a561024dc59bbd3b50ef42f7fdb1ca19f113b6ac34109d42d3115f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.14716",
    "kind": "arxiv",
    "version": 1
  }
}