Pith Number

pith:RQRHNLP5

pith:2025:RQRHNLP5QGDLD52NBLX7FIQIOT

not attested not anchored not stored refs pending

Multiplicities and degree functions in local rings via intersection products

Jonathan Monta\~no, Steven Dale Cutkosky

arxiv:2503.14429 v2 · 2025-03-18 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQRHNLP5QGDLD52NBLX7FIQIOT}

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

Degree functions of graded families of ideals

Receipt and verification

First computed	2026-07-05T10:39:47.767176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c2276adfd8186b1f74d0aeff2a20874f895c3cf6c9ecee2de735bb5b780378b

Aliases

arxiv: 2503.14429 · arxiv_version: 2503.14429v2 · doi: 10.48550/arxiv.2503.14429 · pith_short_12: RQRHNLP5QGDL · pith_short_16: RQRHNLP5QGDLD52N · pith_short_8: RQRHNLP5

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/RQRHNLP5QGDLD52NBLX7FIQIOT \
  | 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: 8c2276adfd8186b1f74d0aeff2a20874f895c3cf6c9ecee2de735bb5b780378b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d81e75d72f7d1aa11ce33170597f81efbe5b22f0de5b542bd888511b095c776",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-03-18T17:06:43Z",
    "title_canon_sha256": "830315067723c2ea401115f269a84b3ff8c0f2db41114c1270f5b34749226d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.14429",
    "kind": "arxiv",
    "version": 2
  }
}