Pith Number

pith:NCTOO3AI

pith:2019:NCTOO3AIIZXVWPPLZ6M3AIUO6L

not attested not anchored not stored refs pending

The edge ideal of a graph and its splitting graphs

J\"urgen Herzog, Masoomeh Rahimbeigi, Somayeh Moradi

arxiv:1908.03769 v3 · 2019-08-10 · 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{NCTOO3AIIZXVWPPLZ6M3AIUO6L}

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	2026-07-04T23:59:34.576133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68a6e76c08466f5b3debcf99b0228ef2ef1c588ac36d8b6d5c08cb5519c85c38

Aliases

arxiv: 1908.03769 · arxiv_version: 1908.03769v3 · doi: 10.48550/arxiv.1908.03769 · pith_short_12: NCTOO3AIIZXV · pith_short_16: NCTOO3AIIZXVWPPL · pith_short_8: NCTOO3AI

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/NCTOO3AIIZXVWPPLZ6M3AIUO6L \
  | 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: 68a6e76c08466f5b3debcf99b0228ef2ef1c588ac36d8b6d5c08cb5519c85c38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3a0c7b30abcfbf0fce058eb4dcfc3cf8be167d9d205f781d1ca1a6f2c021df6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-08-10T14:51:50Z",
    "title_canon_sha256": "a1b679f7b68f78298d42cbe732dfc622ee1afc4761c51803579bbb48f65d7ab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03769",
    "kind": "arxiv",
    "version": 3
  }
}