Pith Number

pith:HQTGKRQ5

pith:2012:HQTGKRQ54PELZ6CHB7W4HOTGGR

not attested not anchored not stored refs pending

Free convex sets defined by rational expressions have LMI representations

J. William Helton, Scott McCullough

arxiv:1209.3412 v2 · 2012-09-15 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQTGKRQ54PELZ6CHB7W4HOTGGR}

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	2026-05-18T03:40:15.859132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c2665461de3c8bcf8470fedc3ba6634630ccb880a5e41fc8a9447aa63b572a9

Aliases

arxiv: 1209.3412 · arxiv_version: 1209.3412v2 · doi: 10.48550/arxiv.1209.3412 · pith_short_12: HQTGKRQ54PEL · pith_short_16: HQTGKRQ54PELZ6CH · pith_short_8: HQTGKRQ5

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/HQTGKRQ54PELZ6CHB7W4HOTGGR \
  | 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: 3c2665461de3c8bcf8470fedc3ba6634630ccb880a5e41fc8a9447aa63b572a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feb6ba723c3d58c306ff623871686007ee73c1cccb12fbd7509cf3fea4830ead",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-15T14:43:55Z",
    "title_canon_sha256": "8f5d77205d96368e0ae0e2dcd9ccf0a95dd8cf57620a94ad776a03650bc3d9bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3412",
    "kind": "arxiv",
    "version": 2
  }
}