Pith Number

pith:FAC52S67

pith:2010:FAC52S67PBFCSJSWMSO4P353QS

not attested not anchored not stored refs pending

Bounds for the regularity of edge ideal of vertex decomposable and shellable graphs

Dariush Kiani, Somayeh Moradi

arxiv:1007.4056 v1 · 2010-07-23 · 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{FAC52S67PBFCSJSWMSO4P353QS}

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	2026-05-18T01:23:31.820824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2805dd4bdf784a292656649dc7efbb84b2a5fd9ba8324709b5695ef4e1e2fdf5

Aliases

arxiv: 1007.4056 · arxiv_version: 1007.4056v1 · doi: 10.48550/arxiv.1007.4056 · pith_short_12: FAC52S67PBFC · pith_short_16: FAC52S67PBFCSJSW · pith_short_8: FAC52S67

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/FAC52S67PBFCSJSWMSO4P353QS \
  | 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: 2805dd4bdf784a292656649dc7efbb84b2a5fd9ba8324709b5695ef4e1e2fdf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27b75fda2b5811ca4fb43d7a6e0ebfcb6127cdc6c8ced32e5ee65639199d0a11",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-07-23T07:27:49Z",
    "title_canon_sha256": "13fb17a17ab139b2625a753dbc9e52bf2c8ecab04052add18abdd695e85d82ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4056",
    "kind": "arxiv",
    "version": 1
  }
}