Pith Number

pith:6OS7WOFE

pith:2018:6OS7WOFEU5CQENHRZLQE5GHIKX

not attested not anchored not stored refs pending

An efficient reduction strategy for signature-based algorithms to compute Groebner basis

Kosuke Sakata

arxiv:1811.12663 v1 · 2018-11-30 · cs.SC · 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{6OS7WOFEU5CQENHRZLQE5GHIKX}

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	2026-05-17T23:59:28.899417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3a5fb38a4a7450234f1cae04e98e855d3829df25afe964fcaf05cbc4808e21a

Aliases

arxiv: 1811.12663 · arxiv_version: 1811.12663v1 · doi: 10.48550/arxiv.1811.12663 · pith_short_12: 6OS7WOFEU5CQ · pith_short_16: 6OS7WOFEU5CQENHR · pith_short_8: 6OS7WOFE

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/6OS7WOFEU5CQENHRZLQE5GHIKX \
  | 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: f3a5fb38a4a7450234f1cae04e98e855d3829df25afe964fcaf05cbc4808e21a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d0022e53e0eaa1c510497da69a6fd30ff4f1e47605d0c7762f7ef1ed262df7d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2018-11-30T08:12:42Z",
    "title_canon_sha256": "29071ac394327233b36987e4c049540a54259cb9c077c9ee4417bce2197d2b47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12663",
    "kind": "arxiv",
    "version": 1
  }
}