Pith Number

pith:4KV5BMND

pith:2019:4KV5BMNDZFWGHNSIIDTSREXUVU

not attested not anchored not stored refs pending

Exploiting Sparsity for Semi-Algebraic Set Volume Computation

Didier Henrion (LAAS-MAC), Jean-Bernard Lasserre (IMT, LAAS-MAC), Matteo Tacchi (LAAS-MAC), Tillmann Weisser (LANL)

arxiv:1902.02976 v2 · 2019-02-08 · 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{4KV5BMNDZFWGHNSIIDTSREXUVU}

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.

Cited by

1 paper in Pith

Sparse Noncommutative Polynomial Optimization

Receipt and verification

First computed	2026-07-05T01:22:13.563249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2abd0b1a3c96c63b64840e72892f4ad0f39b1e1c8afbb2389520e29c528cf26

Aliases

arxiv: 1902.02976 · arxiv_version: 1902.02976v2 · doi: 10.48550/arxiv.1902.02976 · pith_short_12: 4KV5BMNDZFWG · pith_short_16: 4KV5BMNDZFWGHNSI · pith_short_8: 4KV5BMND

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/4KV5BMNDZFWGHNSIIDTSREXUVU \
  | 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: e2abd0b1a3c96c63b64840e72892f4ad0f39b1e1c8afbb2389520e29c528cf26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60127001ff922d229fa21f1ff8105485451c79ef307aaf6bbd2acf4062b2f53c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-02-08T08:40:57Z",
    "title_canon_sha256": "88f658e615e92fc3db85c5c9ab78cde66d1b0332d49de6094a405f7aff725e57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02976",
    "kind": "arxiv",
    "version": 2
  }
}