Pith Number

pith:V24AQR76

pith:2018:V24AQR762XTHHWS5BVOLOPVUBB

not attested not anchored not stored refs pending

A formula for the associated Buchsbaum-Rim multiplicities of a direct sum of cyclic modules

Futoshi Hayasaka

arxiv:1804.01707 v1 · 2018-04-05 · 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{V24AQR762XTHHWS5BVOLOPVUBB}

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	2026-05-18T00:19:10.247301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeb80847fed5e673da5d0d5cb73eb40872f4c7ae1f65e451fb8e2bd0c584585e

Aliases

arxiv: 1804.01707 · arxiv_version: 1804.01707v1 · doi: 10.48550/arxiv.1804.01707 · pith_short_12: V24AQR762XTH · pith_short_16: V24AQR762XTHHWS5 · pith_short_8: V24AQR76

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/V24AQR762XTHHWS5BVOLOPVUBB \
  | 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: aeb80847fed5e673da5d0d5cb73eb40872f4c7ae1f65e451fb8e2bd0c584585e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6101292e9dd53f9412d248782a1b7c40889010a556f7d1650a57a708971140f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-04-05T07:47:05Z",
    "title_canon_sha256": "fdfe4ab8f5eb1e844c18e9c89ec4cdd29a7aa5684c163d7bf155a575d6052f9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01707",
    "kind": "arxiv",
    "version": 1
  }
}