Pith Number

pith:ZOBJYSV2

pith:2015:ZOBJYSV22C4A2UDLFBYWVL4VOP

not attested not anchored not stored refs pending

The arithmetical rank of the edge ideals of graphs with pairwise disjoint cycles

Antonio Macchia, Margherita Barile

arxiv:1511.07310 v1 · 2015-11-23 · math.AC · 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{ZOBJYSV22C4A2UDLFBYWVL4VOP}

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	2026-05-18T01:26:11.701884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb829c4abad0b80d506b28716aaf9573f89ab3c36ac93e9c4656e8d394a01957

Aliases

arxiv: 1511.07310 · arxiv_version: 1511.07310v1 · doi: 10.48550/arxiv.1511.07310 · pith_short_12: ZOBJYSV22C4A · pith_short_16: ZOBJYSV22C4A2UDL · pith_short_8: ZOBJYSV2

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/ZOBJYSV22C4A2UDLFBYWVL4VOP \
  | 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: cb829c4abad0b80d506b28716aaf9573f89ab3c36ac93e9c4656e8d394a01957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4fe4a84a7ef9e558d73b063f2833bf4c805ba213cc31f90692db9d558086d0e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-11-23T16:56:13Z",
    "title_canon_sha256": "e8ba5a12213d25b035c76ba36e00c9617682eb9fd3e042849ad08b8d46876ec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07310",
    "kind": "arxiv",
    "version": 1
  }
}