Pith Number

pith:J7ZCBF5H

pith:2017:J7ZCBF5HC2NKBIS5KCZGSEHX4N

not attested not anchored not stored refs pending

$H$-Decomposition of $r$-graphs when $H$ is an $r$-graph with exactly $k$ independent edges

Boyuan Liu, Hongliang Lu, Xinmin Hou

arxiv:1710.05347 v1 · 2017-10-15 · 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{J7ZCBF5HC2NKBIS5KCZGSEHX4N}

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	2026-05-18T00:32:49.874015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ff22097a7169aa0a25d50b26910f7e347b5b55d1448cfe5b25190f2c8e884ea

Aliases

arxiv: 1710.05347 · arxiv_version: 1710.05347v1 · doi: 10.48550/arxiv.1710.05347 · pith_short_12: J7ZCBF5HC2NK · pith_short_16: J7ZCBF5HC2NKBIS5 · pith_short_8: J7ZCBF5H

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/J7ZCBF5HC2NKBIS5KCZGSEHX4N \
  | 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: 4ff22097a7169aa0a25d50b26910f7e347b5b55d1448cfe5b25190f2c8e884ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ada03ae9ea44ea4b88789bd3ed0fc8cd3102d13cdda70d9bd7fea482d5bf1527",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-15T15:30:28Z",
    "title_canon_sha256": "bbd7c00ca6cf29964cefe650a5d0c62ea740eea6b4309cc57677ab698475b354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05347",
    "kind": "arxiv",
    "version": 1
  }
}