Pith Number

pith:2YBSQ4HG

pith:2012:2YBSQ4HGAA27EPNIYQASEHSHIZ

not attested not anchored not stored refs pending

Cohen--Macaulaynees for symbolic power ideals of edge ideals

Giancarlo Rinaldo, Ken-ichi Yoshida, Naoki Terai

arxiv:1203.1967 v1 · 2012-03-09 · 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{2YBSQ4HGAA27EPNIYQASEHSHIZ}

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	2026-05-18T04:00:27.880796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6032870e60035f23da8c401221e474654093034a0fcfe81c29566e6c11eb720

Aliases

arxiv: 1203.1967 · arxiv_version: 1203.1967v1 · doi: 10.48550/arxiv.1203.1967 · pith_short_12: 2YBSQ4HGAA27 · pith_short_16: 2YBSQ4HGAA27EPNI · pith_short_8: 2YBSQ4HG

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/2YBSQ4HGAA27EPNIYQASEHSHIZ \
  | 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: d6032870e60035f23da8c401221e474654093034a0fcfe81c29566e6c11eb720

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18eb1ef8bf3e0e66e4ff6c88bdf69dd13e7807e9dead304aa840136636ecc821",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-03-09T01:12:54Z",
    "title_canon_sha256": "f7c38f4d8bcea3d40a9d339cdcb4e922babb6df85499d9cb94e54246baab5c81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1967",
    "kind": "arxiv",
    "version": 1
  }
}