Pith Number

pith:G4FAS4SO

pith:2013:G4FAS4SOX2KDIFJURHVOT2LVZF

not attested not anchored not stored refs pending

On the Complexity of Computing Gr\"obner Bases for Quasi-homogeneous Systems

Jean-Charles Faug\`ere (INRIA Paris-Rocquencourt, LIP6), Mohab Safey El Din (INRIA Paris-Rocquencourt, Thibaut Verron (INRIA Paris-Rocquencourt

arxiv:1301.5612 v3 · 2013-01-23 · 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{G4FAS4SOX2KDIFJURHVOT2LVZF}

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	2026-05-18T03:26:32.075547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

370a09724ebe9434153489eae9e975c9659f0828c3dbe70f4f1ed706fefa6898

Aliases

arxiv: 1301.5612 · arxiv_version: 1301.5612v3 · doi: 10.48550/arxiv.1301.5612 · pith_short_12: G4FAS4SOX2KD · pith_short_16: G4FAS4SOX2KDIFJU · pith_short_8: G4FAS4SO

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/G4FAS4SOX2KDIFJURHVOT2LVZF \
  | 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: 370a09724ebe9434153489eae9e975c9659f0828c3dbe70f4f1ed706fefa6898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08c375fded3a61206c1cfac4af959f48b6d62c8c37ec43f7e529cdd920613dd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2013-01-23T19:49:36Z",
    "title_canon_sha256": "1dad1371c05bd2bc634ab1d6537c046d09591bf7e39ce38ba9990dbe86b96cb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5612",
    "kind": "arxiv",
    "version": 3
  }
}