Pith Number

pith:MHEON6DT

pith:2018:MHEON6DT52ERD2HBYI5W3VZK3T

not attested not anchored not stored refs pending

Depth and regularity of monomial ideals via polarization and combinatorial optimization

Carlos E. Vivares, Jose Mart\'inez-Bernal, Rafael H. Villarreal, Susan Morey

arxiv:1803.02017 v2 · 2018-03-06 · 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{MHEON6DT52ERD2HBYI5W3VZK3T}

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	2026-05-17T23:49:33.657174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61c8e6f873ee8911e8e1c23b6dd72adcfc56dc7dedc7ba8b24642ef11f746ed5

Aliases

arxiv: 1803.02017 · arxiv_version: 1803.02017v2 · doi: 10.48550/arxiv.1803.02017 · pith_short_12: MHEON6DT52ER · pith_short_16: MHEON6DT52ERD2HB · pith_short_8: MHEON6DT

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/MHEON6DT52ERD2HBYI5W3VZK3T \
  | 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: 61c8e6f873ee8911e8e1c23b6dd72adcfc56dc7dedc7ba8b24642ef11f746ed5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b41d75b1cbcd6c392555524e968eb5aae3bcefa42161401458bad6b620ccdc8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-03-06T04:53:05Z",
    "title_canon_sha256": "b0afa83853f0017dbbc9883fac70b161eaaa5729a6bbb8dfba3ede26219c8e7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02017",
    "kind": "arxiv",
    "version": 2
  }
}