pith. the verified trust layer for science. sign in
Pith Number

pith:BXP2VCK4

pith:2015:BXP2VCK4HH5YWMHJKQL2M5BXYB
not attested not anchored not stored refs pending

Certified Roundoff Error Bounds Using Semidefinite Programming

Alastair Donaldson, George Constantinides, Victor Magron

arxiv:1507.03331 v7 · 2015-07-13 · cs.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BXP2VCK4HH5YWMHJKQL2M5BXYB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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 2026-05-18T00:56:46.732236Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0ddfaa895c39fb8b30e95417a67437c05d4de60e22dbd926c166404d75b96369

Aliases

arxiv: 1507.03331 · arxiv_version: 1507.03331v7 · doi: 10.48550/arxiv.1507.03331 · pith_short_12: BXP2VCK4HH5Y · pith_short_16: BXP2VCK4HH5YWMHJ · pith_short_8: BXP2VCK4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BXP2VCK4HH5YWMHJKQL2M5BXYB \
  | 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: 0ddfaa895c39fb8b30e95417a67437c05d4de60e22dbd926c166404d75b96369
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5128cc420a1c3229e906fdb1a26b5edf4b33408e9a65b08f34fb52481c526c66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2015-07-13T06:21:01Z",
    "title_canon_sha256": "3c2a2863ee65c68945bf3f8608a20183f592596cbd3014173e8431400d17a9f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03331",
    "kind": "arxiv",
    "version": 7
  }
}