Pith Number

pith:KWHGIWEU

pith:2024:KWHGIWEURIGWCXYLUABW3UPPDA

not attested not anchored not stored refs pending

Monomial Cycles in Koszul Homology

Jacob Zoromski

arxiv:2409.07583 v1 · 2024-09-11 · 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{KWHGIWEURIGWCXYLUABW3UPPDA}

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	2026-07-05T09:06:11.990138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

558e6458948a0d615f0ba0036dd1ef182c627177e3f3c42343e48e8a98ffa580

Aliases

arxiv: 2409.07583 · arxiv_version: 2409.07583v1 · doi: 10.48550/arxiv.2409.07583 · pith_short_12: KWHGIWEURIGW · pith_short_16: KWHGIWEURIGWCXYL · pith_short_8: KWHGIWEU

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/KWHGIWEURIGWCXYLUABW3UPPDA \
  | 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: 558e6458948a0d615f0ba0036dd1ef182c627177e3f3c42343e48e8a98ffa580

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd0daec736244d3327aeede940144c929007c6d402d742b1355db993556a1e2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-09-11T19:27:14Z",
    "title_canon_sha256": "edf0f82e0b9a9cfe849cee2200f8a2b2d36c7397bacc91e17d8d83da2db5c89c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.07583",
    "kind": "arxiv",
    "version": 1
  }
}