Pith Number

pith:BPL7UKIK

pith:2015:BPL7UKIKD2KVKJQDQKXBJA2SZ3

not attested not anchored not stored refs pending

On fixing sets of composition and corona product of graphs

I. Irshad, I. Javaid, M. S. Aasi, M. Salman

arxiv:1507.02053 v1 · 2015-07-08 · 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{BPL7UKIKD2KVKJQDQKXBJA2SZ3}

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	2026-05-18T01:37:08.722511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bd7fa290a1e9555260382ae148352ced8c57a63240dc586f93ef2862deb1f38

Aliases

arxiv: 1507.02053 · arxiv_version: 1507.02053v1 · doi: 10.48550/arxiv.1507.02053 · pith_short_12: BPL7UKIKD2KV · pith_short_16: BPL7UKIKD2KVKJQD · pith_short_8: BPL7UKIK

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/BPL7UKIKD2KVKJQDQKXBJA2SZ3 \
  | 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: 0bd7fa290a1e9555260382ae148352ced8c57a63240dc586f93ef2862deb1f38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bba0cb702e423543cefe7976ef3d64db8ae998c5ba4700d473e7fe5535082f14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-08T07:46:02Z",
    "title_canon_sha256": "8dbc0b88e7faac39b1f6324a09e5f8549255878427a08b4018d9743c9a28197c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02053",
    "kind": "arxiv",
    "version": 1
  }
}