Pith Number

pith:4Z5E2MDV

pith:2024:4Z5E2MDV33KHDCZB4I273BINI7

not attested not anchored not stored refs pending

Minimal Cellular Resolutions of Path Ideals

Kyle Wang, Selvi Kara, Trung Chau

arxiv:2403.16324 v3 · 2024-03-24 · 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{4Z5E2MDV33KHDCZB4I273BINI7}

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.

Cited by

1 paper in Pith

Monomial ideals with minimal generalized Barile-Macchia resolutions

Receipt and verification

First computed	2026-07-05T10:37:25.207104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e67a4d3075ded4718b21e235fd850d47f244b220fa1862eab5e451cf5b8d38e1

Aliases

arxiv: 2403.16324 · arxiv_version: 2403.16324v3 · doi: 10.48550/arxiv.2403.16324 · pith_short_12: 4Z5E2MDV33KH · pith_short_16: 4Z5E2MDV33KHDCZB · pith_short_8: 4Z5E2MDV

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/4Z5E2MDV33KHDCZB4I273BINI7 \
  | 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: e67a4d3075ded4718b21e235fd850d47f244b220fa1862eab5e451cf5b8d38e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b57c0f1977e15880c4ddfc0f6108cfbaf5a5e33559b6b94006da03c4aea07c9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-03-24T23:16:56Z",
    "title_canon_sha256": "2af8aabcc42dfe4a311f350baaee185fb7df9f84b698a5f896a0c233e089fc99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.16324",
    "kind": "arxiv",
    "version": 3
  }
}