Pith Number

pith:CT4EJHLQ

pith:2008:CT4EJHLQTCV4RFD5NWCUY3U2B2

not attested not anchored not stored refs pending

Approximate volume and integration for basic semi-algebraic sets

Carlo Savorgnan (KUL), Didier Henrion (LAAS, Fel-Cvut), IMT), Jean Bernard Lasserre (LAAS

arxiv:0807.2505 v2 · 2008-07-16 · 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{CT4EJHLQTCV4RFD5NWCUY3U2B2}

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	2026-05-18T02:15:45.021386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14f8449d7098abc8947d6d854c6e9a0e8e4045e5ece9c3ec8a55eeee0b8c1c00

Aliases

arxiv: 0807.2505 · arxiv_version: 0807.2505v2 · doi: 10.48550/arxiv.0807.2505 · pith_short_12: CT4EJHLQTCV4 · pith_short_16: CT4EJHLQTCV4RFD5 · pith_short_8: CT4EJHLQ

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/CT4EJHLQTCV4RFD5NWCUY3U2B2 \
  | 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: 14f8449d7098abc8947d6d854c6e9a0e8e4045e5ece9c3ec8a55eeee0b8c1c00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a988d42f70a78a39ee0cd1c286f76d27c1d057721d401860568b47b8bb08e69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2008-07-16T07:09:01Z",
    "title_canon_sha256": "55d828988d655da2e7577d98b9e4eaf31aaf25ef226b7818d06691198615216a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2505",
    "kind": "arxiv",
    "version": 2
  }
}