Pith Number

pith:XI77DEET

pith:2021:XI77DEETJNTVWHFACJERT75E3A

not attested not anchored not stored refs pending

Sum of Squares Decompositions of Polynomials over their Gradient Ideals with Rational Coefficients

Mohab Safey El Din, Trung-Hieu Vu, Victor Magron

arxiv:2107.11825 v1 · 2021-07-25 · cs.SC · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XI77DEETJNTVWHFACJERT75E3A}

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	2026-07-05T03:00:37.823856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba3ff190934b675b1ca0124919ffa4d8176b813509a55f01eb23fec4fa3f58c9

Aliases

arxiv: 2107.11825 · arxiv_version: 2107.11825v1 · doi: 10.48550/arxiv.2107.11825 · pith_short_12: XI77DEETJNTV · pith_short_16: XI77DEETJNTVWHFA · pith_short_8: XI77DEET

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/XI77DEETJNTVWHFACJERT75E3A \
  | 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: ba3ff190934b675b1ca0124919ffa4d8176b813509a55f01eb23fec4fa3f58c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed239fea86f8c443663fc908a62aebfd50f2f3d8945e3959affbaeebdb85983e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2021-07-25T15:13:43Z",
    "title_canon_sha256": "f45a6a575637df90a293ceda7c1cd3d695bbb92224eaa6c68847a95c896a3acd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11825",
    "kind": "arxiv",
    "version": 1
  }
}