Pith Number

pith:IV2CW5B3

pith:2019:IV2CW5B3L25EF4V6OJ6BOEZZSP

not attested not anchored not stored refs pending

TSSOS: A Moment-SOS hierarchy that exploits term sparsity

Jean-Bernard Lasserre, Jie Wang, Victor Magron

arxiv:1912.08899 v2 · 2019-12-18 · 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{IV2CW5B3L25EF4V6OJ6BOEZZSP}

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	2026-07-05T01:02:28.903622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45742b743b5eba42f2be727c17133993c82b7c9fe1243cf6ebef2cf405bda503

Aliases

arxiv: 1912.08899 · arxiv_version: 1912.08899v2 · doi: 10.48550/arxiv.1912.08899 · pith_short_12: IV2CW5B3L25E · pith_short_16: IV2CW5B3L25EF4V6 · pith_short_8: IV2CW5B3

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/IV2CW5B3L25EF4V6OJ6BOEZZSP \
  | 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: 45742b743b5eba42f2be727c17133993c82b7c9fe1243cf6ebef2cf405bda503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f9841a98e236f743a06f933049ac2068c6ed0c36a0c96b2fa3848802b522a71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-12-18T21:29:18Z",
    "title_canon_sha256": "7ffe6d4a8ebcf3b62dc95cc3f97a2cc0608b055b4e8d11241aad59879556dda2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.08899",
    "kind": "arxiv",
    "version": 2
  }
}