Pith Number

pith:NZAVDHSB

pith:2025:NZAVDHSBTPJXCS323CICOOHQ67

not attested not anchored not stored refs pending

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem

Daniel Katz, J. K. Verma, Vijay Kodiyalam

arxiv:2508.07437 v1 · 2025-08-10 · 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{NZAVDHSBTPJXCS323CICOOHQ67}

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	2026-07-05T11:51:46.298159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e41519e419bd3714b7ad8902738f0f7fec1f1f0673d73246c33f4f5f811033f

Aliases

arxiv: 2508.07437 · arxiv_version: 2508.07437v1 · doi: 10.48550/arxiv.2508.07437 · pith_short_12: NZAVDHSBTPJX · pith_short_16: NZAVDHSBTPJXCS32 · pith_short_8: NZAVDHSB

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/NZAVDHSBTPJXCS323CICOOHQ67 \
  | 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: 6e41519e419bd3714b7ad8902738f0f7fec1f1f0673d73246c33f4f5f811033f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6666019a1310f5f0cbefaa2c5ac9f6351a0a4c033a3f8b223bc93d2e76bc9699",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-08-10T17:27:59Z",
    "title_canon_sha256": "0eff07132c38093421f242b8c1b579cc19492102563ba60e5c38c3a3129db367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07437",
    "kind": "arxiv",
    "version": 1
  }
}