Pith Number

pith:CMGRCKKK

pith:2017:CMGRCKKK2HTMJ2PCAXKLXOFJ2P

not attested not anchored not stored refs pending

Regularity of Powers of edge ideal of very well-covered graphs

Pooran Norouzi, Seyed Amin Seyed Fakhari, Siamak Yassemi

arxiv:1707.04874 v2 · 2017-07-16 · 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{CMGRCKKK2HTMJ2PCAXKLXOFJ2P}

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	2026-05-18T00:40:02.706442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

130d11294ad1e6c4e9e205d4bbb8a9d3eee642d3450c2afe46919dacb5451dc1

Aliases

arxiv: 1707.04874 · arxiv_version: 1707.04874v2 · doi: 10.48550/arxiv.1707.04874 · pith_short_12: CMGRCKKK2HTM · pith_short_16: CMGRCKKK2HTMJ2PC · pith_short_8: CMGRCKKK

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/CMGRCKKK2HTMJ2PCAXKLXOFJ2P \
  | 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: 130d11294ad1e6c4e9e205d4bbb8a9d3eee642d3450c2afe46919dacb5451dc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b043b04b34d8915d4228cf179e6e60ebf21ddc94dfd6bd046b3d2d57c09f4171",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-07-16T12:47:42Z",
    "title_canon_sha256": "439da7f5410de3c0bd6c480496c63e8f02392085986b2f6c67b06eee737b7a2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04874",
    "kind": "arxiv",
    "version": 2
  }
}