Pith Number

pith:EV24Q6I2

pith:2018:EV24Q6I2FBM4Y2OCTZJNY2DVAR

not attested not anchored not stored refs pending

Extremal Betti numbers of edge ideals

Kazunori Matsuda, Kyouko Kimura, Takayuki Hibi

arxiv:1810.08969 v3 · 2018-10-21 · 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{EV24Q6I2FBM4Y2OCTZJNY2DVAR}

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	2026-05-17T23:51:14.120790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2575c8791a2859cc69c29e52dc6875046c4ec110e6fe8b3fc02e07d418688f15

Aliases

arxiv: 1810.08969 · arxiv_version: 1810.08969v3 · doi: 10.48550/arxiv.1810.08969 · pith_short_12: EV24Q6I2FBM4 · pith_short_16: EV24Q6I2FBM4Y2OC · pith_short_8: EV24Q6I2

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/EV24Q6I2FBM4Y2OCTZJNY2DVAR \
  | 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: 2575c8791a2859cc69c29e52dc6875046c4ec110e6fe8b3fc02e07d418688f15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1daade1bd04eee203b6021fc9285ac30e07b3510eb137fcd579c4a5a0f283115",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-10-21T15:12:12Z",
    "title_canon_sha256": "191f8fd7404afbf00302b77224de5628d6f73540dfaf57ace0bad62ea7083ccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08969",
    "kind": "arxiv",
    "version": 3
  }
}