Pith Number

pith:IXXQUN2T

pith:2015:IXXQUN2TMRCPN37E6CFP2FFS6B

not attested not anchored not stored refs pending

Relative complements and a `switch'-classification of simple graphs

El\.zbieta B{\l}aszko, Krzysztof Pra\.zmowski, Ma{\l}gorzata Pra\.zmowska

arxiv:1508.07608 v1 · 2015-08-30 · 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{IXXQUN2TMRCPN37E6CFP2FFS6B}

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	2026-05-18T01:34:31.865657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45ef0a37536444f6efe4f08afd14b2f06b6ca3fe51f8deeaa1f3636370366cae

Aliases

arxiv: 1508.07608 · arxiv_version: 1508.07608v1 · doi: 10.48550/arxiv.1508.07608 · pith_short_12: IXXQUN2TMRCP · pith_short_16: IXXQUN2TMRCPN37E · pith_short_8: IXXQUN2T

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/IXXQUN2TMRCPN37E6CFP2FFS6B \
  | 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: 45ef0a37536444f6efe4f08afd14b2f06b6ca3fe51f8deeaa1f3636370366cae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2d10472244e481ad79db800a9fb7b3683201a6c27c8d636cd08524ca6814f00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-30T18:11:49Z",
    "title_canon_sha256": "645b7f6b16f05ad02b389ba9661e0922a573fd7a28f1701be63d14b7a1be16d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07608",
    "kind": "arxiv",
    "version": 1
  }
}