Pith Number

pith:BQIH5R7D

pith:2015:BQIH5R7DP6N2TDAERNP6ZVSNVN

not attested not anchored not stored refs pending

On the Cohen-Macaulayness of tangent cones of monomial curves in $\mathbb{A}^{4}(K)$

Anargyros Katsabekis, Feza Arslan, Melissa Nalbandiyan

arxiv:1512.04204 v4 · 2015-12-14 · 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{BQIH5R7DP6N2TDAERNP6ZVSNVN}

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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	2026-05-18T00:51:30.516963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c107ec7e37f9ba98c048b5fecd64dab6092dae5e7041609257b1bbac95e2235

Aliases

arxiv: 1512.04204 · arxiv_version: 1512.04204v4 · doi: 10.48550/arxiv.1512.04204 · pith_short_12: BQIH5R7DP6N2 · pith_short_16: BQIH5R7DP6N2TDAE · pith_short_8: BQIH5R7D

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/BQIH5R7DP6N2TDAERNP6ZVSNVN \
  | 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: 0c107ec7e37f9ba98c048b5fecd64dab6092dae5e7041609257b1bbac95e2235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ebfa49d5b77bb68102178674528da4da596810e06d76ec82c79e8988407ff37",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-14T07:14:23Z",
    "title_canon_sha256": "b3f8d60e42a6d278bafc675e4f0d6b427e81c5059605fb17fe27a1469c2c9008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04204",
    "kind": "arxiv",
    "version": 4
  }
}