Pith Number

pith:IRBYDNXN

pith:2020:IRBYDNXNGTF3YFLC4OSDTGIF6A

not attested not anchored not stored refs pending

Exploiting constant trace property in large-scale polynomial optimization

Jean-Bernard Lasserre, Jie Wang, Ngoc Hoang Anh Mai, Victor Magron

arxiv:2012.08873 v1 · 2020-12-16 · 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{IRBYDNXNGTF3YFLC4OSDTGIF6A}

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	2026-07-05T02:00:04.359216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

444381b6ed34cbbc1562e3a4399905f018b0ee9fad5022d04ceed211ebdfb5e9

Aliases

arxiv: 2012.08873 · arxiv_version: 2012.08873v1 · doi: 10.48550/arxiv.2012.08873 · pith_short_12: IRBYDNXNGTF3 · pith_short_16: IRBYDNXNGTF3YFLC · pith_short_8: IRBYDNXN

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/IRBYDNXNGTF3YFLC4OSDTGIF6A \
  | 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: 444381b6ed34cbbc1562e3a4399905f018b0ee9fad5022d04ceed211ebdfb5e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2cf9413cbc6711f2611c5374321f7ef79cb1cfb786d79550a97fb9bf8221959",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-12-16T11:29:43Z",
    "title_canon_sha256": "985b2905b8ea449a179f63a0b64b604aa61de7fa279932fe5ecb42027f5fabd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.08873",
    "kind": "arxiv",
    "version": 1
  }
}