Pith. sign in
Pith Number

pith:A2XTFHRO

pith:1996:A2XTFHRO7326DGKW5R5PU7R7ML
not attested not anchored not stored refs pending

Polar Varieties and Efficient Real Equation Solving: The Hypersurface Case

B. Bank, G. M. Mbakop, J. Heintz, M. Giusti, R. Mandel

arxiv:alg-geom/9609003 v1 · 1996-09-06 · alg-geom · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{A2XTFHRO7326DGKW5R5PU7R7ML}

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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 2026-07-04T15:08:06.872568Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

06af329e2efef5e19956ec7afa7e3f62fd287a14a52e66464acdc749241ec9d5

Aliases

arxiv: alg-geom/9609003 · arxiv_version: alg-geom/9609003v1 · doi: 10.48550/arxiv.alg-geom/9609003 · pith_short_12: A2XTFHRO7326 · pith_short_16: A2XTFHRO7326DGKW · pith_short_8: A2XTFHRO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/A2XTFHRO7326DGKW5R5PU7R7ML \
  | 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: 06af329e2efef5e19956ec7afa7e3f62fd287a14a52e66464acdc749241ec9d5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "832aa38f8c46390c343eedd7b2d6aa6c680597dab62db71b5d931d9f76b7f86c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1996-09-06T01:26:32Z",
    "title_canon_sha256": "9447e8ee4e0f240d6543495a1da1400c0e1404274fbffed3a95f5b88b4fdd267"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9609003",
    "kind": "arxiv",
    "version": 1
  }
}