Pith Number

pith:GDS6JIF5

pith:2018:GDS6JIF5F24F5PPOUY7SDEHPT3

not attested not anchored not stored refs pending

On the extremal Betti numbers of binomial edge ideals of block graphs

Giancarlo Rinaldo, Juergen Herzog

arxiv:1802.06020 v1 · 2018-02-16 · 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{GDS6JIF5F24F5PPOUY7SDEHPT3}

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	2026-05-18T00:23:10.130188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30e5e4a0bd2eb85ebdeea63f2190ef9ef7bdadc0ff826d58a18f3d687b1823ed

Aliases

arxiv: 1802.06020 · arxiv_version: 1802.06020v1 · doi: 10.48550/arxiv.1802.06020 · pith_short_12: GDS6JIF5F24F · pith_short_16: GDS6JIF5F24F5PPO · pith_short_8: GDS6JIF5

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/GDS6JIF5F24F5PPOUY7SDEHPT3 \
  | 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: 30e5e4a0bd2eb85ebdeea63f2190ef9ef7bdadc0ff826d58a18f3d687b1823ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a428b79a601aa50aef559ef1ea05255da85383b7a1ae257b9f887ebbfa422c52",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-02-16T16:45:13Z",
    "title_canon_sha256": "fde2a2bfbd84ec7a32e25377a94835d51ab5e21e137525424d8674efaebf3510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06020",
    "kind": "arxiv",
    "version": 1
  }
}