Pith Number

pith:MOFIESOP

pith:2018:MOFIESOPPZM4LZ5J5FA6J5VN3J

not attested not anchored not stored refs pending

Betti numbers for certain Cohen-Macaulay tangent cones

Mesut \c{S}ahin, Nil \c{S}ahin

arxiv:1803.07287 v2 · 2018-03-20 · math.AC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOFIESOPPZM4LZ5J5FA6J5VN3J}

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	2026-05-18T00:04:23.458514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

638a8249cf7e59c5e7a9e941e4f6adda7a987a9d9a6dbc3e2eddff9c3f935645

Aliases

arxiv: 1803.07287 · arxiv_version: 1803.07287v2 · doi: 10.48550/arxiv.1803.07287 · pith_short_12: MOFIESOPPZM4 · pith_short_16: MOFIESOPPZM4LZ5J · pith_short_8: MOFIESOP

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/MOFIESOPPZM4LZ5J5FA6J5VN3J \
  | 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: 638a8249cf7e59c5e7a9e941e4f6adda7a987a9d9a6dbc3e2eddff9c3f935645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa9860d6b091030272ed28e6ed08ddace37af4626799ee2c63909695470d3f50",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-03-20T08:15:38Z",
    "title_canon_sha256": "e46be043cb587996d15eac7afe1619030fd5b7bef0b1c7763094f7b05126ea0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07287",
    "kind": "arxiv",
    "version": 2
  }
}