Pith Number

pith:PGZUTVTS

pith:2013:PGZUTVTSHM6EPPS3DDZWUBQP5T

not attested not anchored not stored refs pending

On the Complexity of the F5 Gr\"obner basis Algorithm

Bruno Salvy, Jean-Charles Faug\`ere, Magali Bardet

arxiv:1312.1655 v2 · 2013-12-05 · 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{PGZUTVTSHM6EPPS3DDZWUBQP5T}

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	2026-05-18T02:47:24.302019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b349d6723b3c47be5b18f36a060fece524bfb251b25b33ff3e8e3ac3d3a6ef

Aliases

arxiv: 1312.1655 · arxiv_version: 1312.1655v2 · doi: 10.48550/arxiv.1312.1655 · pith_short_12: PGZUTVTSHM6E · pith_short_16: PGZUTVTSHM6EPPS3 · pith_short_8: PGZUTVTS

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/PGZUTVTSHM6EPPS3DDZWUBQP5T \
  | 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: 79b349d6723b3c47be5b18f36a060fece524bfb251b25b33ff3e8e3ac3d3a6ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e56c209ae2a0c7c67dd55075310d9ab5bf7314d00735636b0a5695dae031d26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2013-12-05T19:47:02Z",
    "title_canon_sha256": "e631280ef19f3402a521037b86344a4f9c7a2307f4e2ba9c24a06e2220187363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1655",
    "kind": "arxiv",
    "version": 2
  }
}