Pith Number

pith:TN7IWPSN

pith:2018:TN7IWPSNRIEBQMJOZ5GXN7WX3W

not attested not anchored not stored refs pending

Neighborhood Complexes of Kneser Graphs, $KG_{3,k}$

Anurag Singh, Nandini Nilakantan

arxiv:1807.11732 v1 · 2018-07-31 · 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{TN7IWPSNRIEBQMJOZ5GXN7WX3W}

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	2026-05-18T00:09:21.273398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b7e8b3e4d8a0818312ecf4d76fed7ddb30a33ce7d18f62f9bbb36ba3ac99c86

Aliases

arxiv: 1807.11732 · arxiv_version: 1807.11732v1 · doi: 10.48550/arxiv.1807.11732 · pith_short_12: TN7IWPSNRIEB · pith_short_16: TN7IWPSNRIEBQMJO · pith_short_8: TN7IWPSN

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/TN7IWPSNRIEBQMJOZ5GXN7WX3W \
  | 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: 9b7e8b3e4d8a0818312ecf4d76fed7ddb30a33ce7d18f62f9bbb36ba3ac99c86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "173e7a974465ca8c53a4d56a5d70790b33b3aa12a92401d9cb7a13a121ee1e43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-31T09:58:14Z",
    "title_canon_sha256": "39d039de017e28aefe696b258c411976225d2cb47dcae151ed97e950e4cd4966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11732",
    "kind": "arxiv",
    "version": 1
  }
}