Pith Number

pith:RUOTXVQK

pith:2013:RUOTXVQKAFNJDVOMVKLFRBQ75S

not attested not anchored not stored refs pending

Lower Bounds for a Polynomial on a basic closed semialgebraic set using geometric programming

Mehdi Ghasemi, Murray Marshall

arxiv:1311.3726 v2 · 2013-11-15 · 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{RUOTXVQKAFNJDVOMVKLFRBQ75S}

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	2026-05-18T02:20:47.657817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d1d3bd60a015a91d5ccaa9658861fec96b50709538fcb5c55d1f390b135ca90

Aliases

arxiv: 1311.3726 · arxiv_version: 1311.3726v2 · doi: 10.48550/arxiv.1311.3726 · pith_short_12: RUOTXVQKAFNJ · pith_short_16: RUOTXVQKAFNJDVOM · pith_short_8: RUOTXVQK

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/RUOTXVQKAFNJDVOMVKLFRBQ75S \
  | 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: 8d1d3bd60a015a91d5ccaa9658861fec96b50709538fcb5c55d1f390b135ca90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73b67758a89e1d098ec3e663b14bfb01f26a5726aff07a4be718a7ce6ff51c56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-11-15T04:49:58Z",
    "title_canon_sha256": "f8ac13cd0c834b2f96f1c74003ff07c476b9344d95104f6b9ff727648822e521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3726",
    "kind": "arxiv",
    "version": 2
  }
}