Pith Number

pith:C4RS4HYJ

pith:2015:C4RS4HYJRWPH5AIFI3SRBE5YX6

not attested not anchored not stored refs pending

On the Stanley depth of powers of edge ideals

S. A. Seyed Fakhari

arxiv:1509.04988 v1 · 2015-09-16 · 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{C4RS4HYJRWPH5AIFI3SRBE5YX6}

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	2026-05-18T01:32:51.164730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17232e1f098d9e7e810546e51093b8bfafe53486b49f875fb6a8775fc8737ff0

Aliases

arxiv: 1509.04988 · arxiv_version: 1509.04988v1 · doi: 10.48550/arxiv.1509.04988 · pith_short_12: C4RS4HYJRWPH · pith_short_16: C4RS4HYJRWPH5AIF · pith_short_8: C4RS4HYJ

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/C4RS4HYJRWPH5AIFI3SRBE5YX6 \
  | 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: 17232e1f098d9e7e810546e51093b8bfafe53486b49f875fb6a8775fc8737ff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df1ae73eb9a2074a452277f8db9f535a1e4b5a3235ef4a0e0a83b5c8030b96cc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-09-16T18:13:43Z",
    "title_canon_sha256": "c32363fa0e865e88110658ee0d42ba725606ed082b52d0c2ed6770388fb5aa01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04988",
    "kind": "arxiv",
    "version": 1
  }
}