Pith Number

pith:242RT5NI

pith:2010:242RT5NIMAMHC42TEPSDGTSE5J

not attested not anchored not stored refs pending

A Bivariate Preprocessing Paradigm for Buchberger-M\"oller Algorithm

Shugong Zhang, Tian Dong, Xiaoying Wang

arxiv:1001.1186 v1 · 2010-01-08 · math.AC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{242RT5NIMAMHC42TEPSDGTSE5J}

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	2026-06-03T23:06:32.255787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d73519f5a8601871735323e4334e44ea71eb1d07182e91c91a736623a98b03e2

Aliases

arxiv: 1001.1186 · arxiv_version: 1001.1186v1 · doi: 10.48550/arxiv.1001.1186 · pith_short_12: 242RT5NIMAMH · pith_short_16: 242RT5NIMAMHC42T · pith_short_8: 242RT5NI

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/242RT5NIMAMHC42TEPSDGTSE5J \
  | 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: d73519f5a8601871735323e4334e44ea71eb1d07182e91c91a736623a98b03e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9493430dba1b33678fe62fb64c043cbefc7d2546dcd0f9f773d066261bc353e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-01-08T03:03:01Z",
    "title_canon_sha256": "f681e0f0ad6eb6c65929bb375f78b9e8f648b38ea6efbafbcfa760ee24fed595"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1186",
    "kind": "arxiv",
    "version": 1
  }
}