Pith Number

pith:BWIRHK4B

pith:2015:BWIRHK4B5LCRN6R7IEW4SJXANJ

not attested not anchored not stored refs pending

Semidefinite approximations of projections and polynomial images of semialgebraic sets

Didier Henrion (LAAS), Jean-Bernard Lasserre (LAAS), Victor Magron

arxiv:1507.06143 v1 · 2015-07-22 · 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{BWIRHK4B5LCRN6R7IEW4SJXANJ}

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	2026-05-18T01:36:26.586342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d9113ab81eac516fa3f412dc926e06a4c00ff74b3b365de5a4f9cfc244ac91b

Aliases

arxiv: 1507.06143 · arxiv_version: 1507.06143v1 · doi: 10.48550/arxiv.1507.06143 · pith_short_12: BWIRHK4B5LCR · pith_short_16: BWIRHK4B5LCRN6R7 · pith_short_8: BWIRHK4B

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/BWIRHK4B5LCRN6R7IEW4SJXANJ \
  | 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: 0d9113ab81eac516fa3f412dc926e06a4c00ff74b3b365de5a4f9cfc244ac91b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a52a7a375753bcc7a2902c5796a72855fabd8ea0fbc1759f7817c3cb5cdbcf4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-07-22T12:07:59Z",
    "title_canon_sha256": "fad27394194296e92178ae257c7698f59e74f129d1e1cdbb4f9e7cddf213d598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06143",
    "kind": "arxiv",
    "version": 1
  }
}