Pith Number

pith:LL2C3MGW

pith:2018:LL2C3MGWRBK47DJZSXEH7YSL2O

not attested not anchored not stored refs pending

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

Futoshi Hayasaka

arxiv:1805.02314 v1 · 2018-05-07 · 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{LL2C3MGWRBK47DJZSXEH7YSL2O}

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	2026-05-18T00:16:40.201813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af42db0d68855cf8d3995c87fe24bd395777f18f0065ec608e1ddf882ebcca3

Aliases

arxiv: 1805.02314 · arxiv_version: 1805.02314v1 · doi: 10.48550/arxiv.1805.02314 · pith_short_12: LL2C3MGWRBK4 · pith_short_16: LL2C3MGWRBK47DJZ · pith_short_8: LL2C3MGW

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/LL2C3MGWRBK47DJZSXEH7YSL2O \
  | 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: 5af42db0d68855cf8d3995c87fe24bd395777f18f0065ec608e1ddf882ebcca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bec50ef991031c99cb8fe9cca069380afbbe89b4c9165c7c9774d21d57dee59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-05-07T02:06:23Z",
    "title_canon_sha256": "5faa48e47838ded10e3b15f912bcdf11497ea34439af30b37fe9af9d79414c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02314",
    "kind": "arxiv",
    "version": 1
  }
}