Pith Number

pith:WNW5PVVX

pith:2025:WNW5PVVX7GSOFILCTOQN7ID6SP

not attested not anchored not stored refs pending

Cylindrical Algebraic Decomposition in Macaulay2

Corin Lee, Hamid Rahkooy, Tereso del R\'io

arxiv:2503.21731 v2 · 2025-03-27 · cs.SC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNW5PVVX7GSOFILCTOQN7ID6SP}

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	2026-07-05T10:41:54.430828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b36dd7d6b7f9a4e2a1629ba0dfa07e93f506fb1f2cf9b731c80912d1cc7be59c

Aliases

arxiv: 2503.21731 · arxiv_version: 2503.21731v2 · doi: 10.48550/arxiv.2503.21731 · pith_short_12: WNW5PVVX7GSO · pith_short_16: WNW5PVVX7GSOFILC · pith_short_8: WNW5PVVX

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/WNW5PVVX7GSOFILCTOQN7ID6SP \
  | 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: b36dd7d6b7f9a4e2a1629ba0dfa07e93f506fb1f2cf9b731c80912d1cc7be59c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2461d0ceabea28a31a7489be6d04685321aaa4c1258c0d32f13a536ff3fa7beb",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2025-03-27T17:46:24Z",
    "title_canon_sha256": "dd1e141beac74abb35c8a555f2617a1c785354dbdeb9f2c7b42bcde185adb23a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.21731",
    "kind": "arxiv",
    "version": 2
  }
}