Pith Number

pith:4AVARVOU

pith:2024:4AVARVOUXKFCNUWTCYF3X54I3H

not attested not anchored not stored refs pending

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

Ferdinand Ihringer

arxiv:2411.16288 v2 · 2024-11-25 · 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{4AVARVOUXKFCNUWTCYF3X54I3H}

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	2026-07-05T11:15:40.638730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e02a08d5d4ba8a26d2d3160bbbf788d9f942895127630a5c0952ac8136ece009

Aliases

arxiv: 2411.16288 · arxiv_version: 2411.16288v2 · doi: 10.48550/arxiv.2411.16288 · pith_short_12: 4AVARVOUXKFC · pith_short_16: 4AVARVOUXKFCNUWT · pith_short_8: 4AVARVOU

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/4AVARVOUXKFCNUWTCYF3X54I3H \
  | 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: e02a08d5d4ba8a26d2d3160bbbf788d9f942895127630a5c0952ac8136ece009

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33f539ca654607594843f3e9d689d7ebd05e7a41e4c36210c748e1eee90bd0b2",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-25T11:12:35Z",
    "title_canon_sha256": "6aa1e71d4bb7911acae7a2f0e0b5f86a6156ec3887e74e4b42c8faec37bd1b65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16288",
    "kind": "arxiv",
    "version": 2
  }
}