Pith Number

pith:VZNH2NTQ

pith:2020:VZNH2NTQ4TIF44DDCX2DALR6TT

not attested not anchored not stored refs pending

Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs

Kosuke Shibata, Naoki Terai, Seyed Amin Seyed Fakhari, Siamak Yassemi

arxiv:2003.12379 v1 · 2020-03-27 · 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{VZNH2NTQ4TIF44DDCX2DALR6TT}

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	2026-07-05T00:50:57.804229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae5a7d3670e4d05e706315f4302e3e9cdeb9f76e27b4e7d0f710994381dba496

Aliases

arxiv: 2003.12379 · arxiv_version: 2003.12379v1 · doi: 10.48550/arxiv.2003.12379 · pith_short_12: VZNH2NTQ4TIF · pith_short_16: VZNH2NTQ4TIF44DD · pith_short_8: VZNH2NTQ

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/VZNH2NTQ4TIF44DDCX2DALR6TT \
  | 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: ae5a7d3670e4d05e706315f4302e3e9cdeb9f76e27b4e7d0f710994381dba496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06427bc8754c98ad29e9757479d01acc2ef63df701216e8c07aca67352b036d7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2020-03-27T12:43:04Z",
    "title_canon_sha256": "bdceab957010d7b251fd235adae637f14ce2ad0d387c311bff5b24133153469a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.12379",
    "kind": "arxiv",
    "version": 1
  }
}