Pith Number

pith:ATQCYT7M

pith:2022:ATQCYT7MZRTC6GDTWK2H6QOG5I

not attested not anchored not stored refs pending

Equitable 2-partitions of the Johnson graphs $J(n,3)$

Alexander L. Gavrilyuk, Konstantin Vorob'ev, Rhys J. Evans, Sergey Goryainov

arxiv:2206.15341 v2 · 2022-06-30 · 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{ATQCYT7MZRTC6GDTWK2H6QOG5I}

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.

Cited by

1 paper in Pith

A Survey of Cameron-Liebler Sets and Low Degree Boolean Functions in Grassmann Graphs

Receipt and verification

First computed	2026-07-05T04:45:49.200963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04e02c4feccc662f1873b2b47f41c6ea3184327156d5aa042eb240679ccc1d15

Aliases

arxiv: 2206.15341 · arxiv_version: 2206.15341v2 · doi: 10.48550/arxiv.2206.15341 · pith_short_12: ATQCYT7MZRTC · pith_short_16: ATQCYT7MZRTC6GDT · pith_short_8: ATQCYT7M

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/ATQCYT7MZRTC6GDTWK2H6QOG5I \
  | 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: 04e02c4feccc662f1873b2b47f41c6ea3184327156d5aa042eb240679ccc1d15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb957453f685f95b1d0db6863f96b9fef1464a2c93bcb674c8b04c1e5d29d4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-30T15:13:45Z",
    "title_canon_sha256": "791cb101a912e01afe40a8a952bab274b1f2466cf8795d0036e4228e1d9b4e18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.15341",
    "kind": "arxiv",
    "version": 2
  }
}