Pith Number

pith:DCI6RIA7

pith:2015:DCI6RIA7FIAJMZYHNA7IUWZZ7B

not attested not anchored not stored refs pending

Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials

Daniel J. Bates, Frank Sottile, Jonathan D. Hauenstein, Matthew E. Niemerg

arxiv:1505.05241 v1 · 2015-05-20 · math.AG · cs.MS · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DCI6RIA7FIAJMZYHNA7IUWZZ7B}

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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	2026-05-18T02:03:58.944350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1891e8a01f2a00966707683e8a5b39f86c6cf38dfba17d9d508f3800b9a7966b

Aliases

arxiv: 1505.05241 · arxiv_version: 1505.05241v1 · doi: 10.48550/arxiv.1505.05241 · pith_short_12: DCI6RIA7FIAJ · pith_short_16: DCI6RIA7FIAJMZYH · pith_short_8: DCI6RIA7

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/DCI6RIA7FIAJMZYHNA7IUWZZ7B \
  | 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: 1891e8a01f2a00966707683e8a5b39f86c6cf38dfba17d9d508f3800b9a7966b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27844bd8ed08f770dcb2b838dbb090a541c58a9438722d5ae7c63dc5f1cfdc81",
    "cross_cats_sorted": [
      "cs.MS",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-20T04:11:49Z",
    "title_canon_sha256": "b4f34278c2b375102ba0c2ad3ea8580bca9e660318e3d0c56e6b8fcfb0bab804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05241",
    "kind": "arxiv",
    "version": 1
  }
}