Pith Number

pith:64IEIQ5U

pith:2016:64IEIQ5UF4JSBWMHW27KQFRQGL

not attested not anchored not stored refs pending

Low-Rank Sum-of-Squares Representations on Varieties of Minimal Degree

Cynthia Vinzant, Daniel Plaumann, Grigoriy Blekherman, Rainer Sinn

arxiv:1606.04387 v2 · 2016-06-14 · math.AG · 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{64IEIQ5UF4JSBWMHW27KQFRQGL}

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	2026-05-18T00:49:32.456106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7104443b42f1320d987b6bea8163032ffeea2da896b81b1468a26b31694d514

Aliases

arxiv: 1606.04387 · arxiv_version: 1606.04387v2 · doi: 10.48550/arxiv.1606.04387 · pith_short_12: 64IEIQ5UF4JS · pith_short_16: 64IEIQ5UF4JSBWMH · pith_short_8: 64IEIQ5U

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/64IEIQ5UF4JSBWMHW27KQFRQGL \
  | 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: f7104443b42f1320d987b6bea8163032ffeea2da896b81b1468a26b31694d514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afba05654ff17cd9bef8dc7f6ecd1bb85fff5c966ba83a98fa3c7c38b2c9b5c0",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-14T14:24:15Z",
    "title_canon_sha256": "1e038393b33f8d3c17af70e48988f58c189c71c0653de0a1db92997d14567610"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04387",
    "kind": "arxiv",
    "version": 2
  }
}