Pith Number

pith:PY5657HZ

pith:2024:PY5657HZSBARAAHAOC5LW46UBP

not attested not anchored not stored refs pending

The $\text{v}$-function of powers of sums of ideals

Antonino Ficarra, Pedro Macias Marques

arxiv:2405.16882 v3 · 2024-05-27 · 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{PY5657HZSBARAAHAOC5LW46UBP}

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

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals

Receipt and verification

First computed	2026-07-05T09:02:20.077138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e3beefcf990411000e070babb73d40bd5d918769b44bd275bd2c8bb42ebb9a4

Aliases

arxiv: 2405.16882 · arxiv_version: 2405.16882v3 · doi: 10.48550/arxiv.2405.16882 · pith_short_12: PY5657HZSBAR · pith_short_16: PY5657HZSBARAAHA · pith_short_8: PY5657HZ

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/PY5657HZSBARAAHAOC5LW46UBP \
  | 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: 7e3beefcf990411000e070babb73d40bd5d918769b44bd275bd2c8bb42ebb9a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11029dbf6217e6948b099ae0ad716b10097adfc97e96e31bc92d2276305e9cd1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-05-27T06:56:36Z",
    "title_canon_sha256": "b36eab90773c0686a6234230e623176506fb02012beab2040e0e2d36c972d582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.16882",
    "kind": "arxiv",
    "version": 3
  }
}