Pith Number

pith:KQQ6O2W6

pith:2009:KQQ6O2W655SWHUII3XAMN3OUVM

not attested not anchored not stored refs pending

The Multivariate Resultant is NP-hard in any Characteristic

Bruno Grenet (LIP), Natacha Portier (LIP), Pascal Koiran (LIP)

arxiv:0912.2607 v3 · 2009-12-14 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQQ6O2W655SWHUII3XAMN3OUVM}

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	2026-05-18T03:44:04.842938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5421e76adeef6563d108ddc0c6edd4ab11adb32156996c84448f43ff414116e4

Aliases

arxiv: 0912.2607 · arxiv_version: 0912.2607v3 · doi: 10.48550/arxiv.0912.2607 · pith_short_12: KQQ6O2W655SW · pith_short_16: KQQ6O2W655SWHUII · pith_short_8: KQQ6O2W6

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/KQQ6O2W655SWHUII3XAMN3OUVM \
  | 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: 5421e76adeef6563d108ddc0c6edd4ab11adb32156996c84448f43ff414116e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbc786a59b6239da964961e775eb3302737bab5b8e67536a76d2aeeb0cb041e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2009-12-14T10:30:25Z",
    "title_canon_sha256": "579838bdfcb6bad726651aa0ff8625cd7c298ff213e2da8dd1c2250561140fb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2607",
    "kind": "arxiv",
    "version": 3
  }
}