Pith Number

pith:KGQ7AD77

pith:2009:KGQ7AD77GYYZQWPUFXBMZ456WN

not attested not anchored not stored refs pending

F5C: a variant of Faugere's F5 algorithm with reduced Groebner bases

Christian Eder, John Perry

arxiv:0906.2967 v6 · 2009-06-16 · math.AC · 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{KGQ7AD77GYYZQWPUFXBMZ456WN}

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	2026-05-18T04:21:53.179522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51a1f00fff36319859f42dc2ccf3beb35d00967574cabff73ddd6a5ddebd7071

Aliases

arxiv: 0906.2967 · arxiv_version: 0906.2967v6 · doi: 10.48550/arxiv.0906.2967 · pith_short_12: KGQ7AD77GYYZ · pith_short_16: KGQ7AD77GYYZQWPU · pith_short_8: KGQ7AD77

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/KGQ7AD77GYYZQWPUFXBMZ456WN \
  | 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: 51a1f00fff36319859f42dc2ccf3beb35d00967574cabff73ddd6a5ddebd7071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9e2301081099bf2ebf0dac60da6f3cdd01bb0eb1f20d1b13a75a6f99eea03d7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-06-16T17:43:12Z",
    "title_canon_sha256": "8e693f5e3632ef6a04389922808985bef5f739964b1508bce2b7807ec83e5c7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2967",
    "kind": "arxiv",
    "version": 6
  }
}