Pith Number

pith:5CKVKEEC

pith:2018:5CKVKEECSRJXVKUU67LDLPLQ6G

not attested not anchored not stored refs pending

Some algebraic properties of bipartite Kneser graphs

Ali Zafari, S. Morteza Mirafzal

arxiv:1804.04570 v1 · 2018-04-12 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CKVKEECSRJXVKUU67LDLPLQ6G}

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	2026-05-18T00:18:36.944043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e89555108294537aaa94f7d635bd70f1886e536b93504f7092093e91d55b67d6

Aliases

arxiv: 1804.04570 · arxiv_version: 1804.04570v1 · doi: 10.48550/arxiv.1804.04570 · pith_short_12: 5CKVKEECSRJX · pith_short_16: 5CKVKEECSRJXVKUU · pith_short_8: 5CKVKEEC

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/5CKVKEECSRJXVKUU67LDLPLQ6G \
  | 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: e89555108294537aaa94f7d635bd70f1886e536b93504f7092093e91d55b67d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa99a2549fe6eb0226607b628d04cdea28470fb92c4b12c3d196307de1b742d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-04-12T15:32:22Z",
    "title_canon_sha256": "93c817c04597a46ff89bfc23f73e4dede626dd7caee80d6a97497a57a82cbfec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04570",
    "kind": "arxiv",
    "version": 1
  }
}