Pith Number

pith:IX2P55P7

pith:2026:IX2P55P7XKRKDT6H7N3WZKYXAO

not attested not anchored not stored refs pending

Beyond F5 and GVW: The Proper-Cover Algorithm for Fast Ideal Basis Computation

Sheng-Ming Ma, Yi Liu, Zheng-Lin Jiao

arxiv:2607.09163 v1 · 2026-07-10 · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IX2P55P7XKRKDT6H7N3WZKYXAO}

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	2026-07-13T01:18:47.680903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45f4fef5ffbaa2a1cfc7fb776cab17038bd3c9d07ce4591f7e0682a7419dc7fb

Aliases

arxiv: 2607.09163 · arxiv_version: 2607.09163v1 · doi: 10.48550/arxiv.2607.09163 · pith_short_12: IX2P55P7XKRK · pith_short_16: IX2P55P7XKRKDT6H · pith_short_8: IX2P55P7

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/IX2P55P7XKRKDT6H7N3WZKYXAO \
  | 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: 45f4fef5ffbaa2a1cfc7fb776cab17038bd3c9d07ce4591f7e0682a7419dc7fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e323630e9b8ab63f203b3c542adf85fd31d50190425f008dbb9b5c543f70ad4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2026-07-10T07:34:57Z",
    "title_canon_sha256": "8cfa2acbd19cc389760272c1505f33927d25d06f335995548401b06bab4d54ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09163",
    "kind": "arxiv",
    "version": 1
  }
}