Pith Number

pith:LPHMH2ZI

pith:2015:LPHMH2ZIGNSM5SKU5QDUTSSLBD

not attested not anchored not stored refs pending

On well-covered, vertex decomposable and Cohen-Macaulay graphs

Enrique Reyes, Iv\'an Dario Castrill\'on, Roberto Cruz

arxiv:1505.00060 v1 · 2015-05-01 · math.CO · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPHMH2ZIGNSM5SKU5QDUTSSLBD}

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	2026-05-18T02:17:13.691956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bcec3eb283364cec954ec0749ca4b08ef583b4666effbdcf07c199f3ca0063f

Aliases

arxiv: 1505.00060 · arxiv_version: 1505.00060v1 · doi: 10.48550/arxiv.1505.00060 · pith_short_12: LPHMH2ZIGNSM · pith_short_16: LPHMH2ZIGNSM5SKU · pith_short_8: LPHMH2ZI

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/LPHMH2ZIGNSM5SKU5QDUTSSLBD \
  | 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: 5bcec3eb283364cec954ec0749ca4b08ef583b4666effbdcf07c199f3ca0063f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "794231101884e38b678b3744703c30bbb67814d873a282ae6af45fdb907f666c",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-01T00:11:27Z",
    "title_canon_sha256": "f9d5673d3ab12aa355d701610bc6f7448c2a422e8866c5067d60ada3a171d81b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00060",
    "kind": "arxiv",
    "version": 1
  }
}