Pith Number

pith:624OASP2

pith:2017:624OASP2GALAEVTSIGCKL46QAT

not attested not anchored not stored refs pending

Some algebraic invariants of edge ideal of circulant graphs

Giancarlo Rinaldo

arxiv:1701.01357 v4 · 2017-01-05 · 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{624OASP2GALAEVTSIGCKL46QAT}

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	2026-05-18T00:43:01.184550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6b8e049fa30160256724184a5f3d004f894d6bcd63e152798e5a1da6d4ff5cf

Aliases

arxiv: 1701.01357 · arxiv_version: 1701.01357v4 · doi: 10.48550/arxiv.1701.01357 · pith_short_12: 624OASP2GALA · pith_short_16: 624OASP2GALAEVTS · pith_short_8: 624OASP2

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/624OASP2GALAEVTSIGCKL46QAT \
  | 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: f6b8e049fa30160256724184a5f3d004f894d6bcd63e152798e5a1da6d4ff5cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b26332d5e284d5458048a5a7a68fcce5401352388120383abb27cf29861e3db",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-01-05T15:40:42Z",
    "title_canon_sha256": "3aa4893ca264b9613b7bf716e9a730e26e4c3ab6f99806f2973821597ba43ba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01357",
    "kind": "arxiv",
    "version": 4
  }
}