Pith Number

pith:DEMVQ4MT

pith:2018:DEMVQ4MT6CO6FTLG4MNN3TU77U

not attested not anchored not stored refs pending

Extremal Betti numbers of some Cohen-Macaulay binomial edge ideals

Carla Mascia, Giancarlo Rinaldo

arxiv:1809.03423 v1 · 2018-09-10 · 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{DEMVQ4MT6CO6FTLG4MNN3TU77U}

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	2026-05-18T00:06:06.920972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1919587193f09de2cd66e31addce9ffd0534bb35b8122c7e83413d2242b43a6f

Aliases

arxiv: 1809.03423 · arxiv_version: 1809.03423v1 · doi: 10.48550/arxiv.1809.03423 · pith_short_12: DEMVQ4MT6CO6 · pith_short_16: DEMVQ4MT6CO6FTLG · pith_short_8: DEMVQ4MT

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/DEMVQ4MT6CO6FTLG4MNN3TU77U \
  | 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: 1919587193f09de2cd66e31addce9ffd0534bb35b8122c7e83413d2242b43a6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d149f276341a03c2763c6efa4c2f580585ae1e5cb0e19da7078c33dbd253e8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-09-10T16:05:18Z",
    "title_canon_sha256": "a5eef49cee595acbd569a4da11f5f792adb0d71b4a7b0465d20b3d22d6541065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03423",
    "kind": "arxiv",
    "version": 1
  }
}