Pith Number

pith:N2J4FPRQ

pith:2024:N2J4FPRQWJ4AIGZE2OMOWBT7YJ

not attested not anchored not stored refs pending

Rational powers, invariant ideals, and the summation formula

Jonathan Monta\~no, Sankhaneel Bisui, Sudipta Das, T\`ai Huy H\`a

arxiv:2402.12350 v3 · 2024-02-19 · 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{N2J4FPRQWJ4AIGZE2OMOWBT7YJ}

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	2026-07-05T10:45:06.486496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e93c2be30b278041b24d398eb067fc2696224599334a40ba2d7ceacb8804f57

Aliases

arxiv: 2402.12350 · arxiv_version: 2402.12350v3 · doi: 10.48550/arxiv.2402.12350 · pith_short_12: N2J4FPRQWJ4A · pith_short_16: N2J4FPRQWJ4AIGZE · pith_short_8: N2J4FPRQ

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/N2J4FPRQWJ4AIGZE2OMOWBT7YJ \
  | 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: 6e93c2be30b278041b24d398eb067fc2696224599334a40ba2d7ceacb8804f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c41b9be376b1820d21df9402ccbb72602aba4a134b78d319628ab8f00b8a181",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-02-19T18:28:02Z",
    "title_canon_sha256": "67c59dc9986f2563650151cc37e6a1ca1852699287aadb33c400c746572d7dbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.12350",
    "kind": "arxiv",
    "version": 3
  }
}