Pith Number

pith:4N2OVESA

pith:2015:4N2OVESABOAXR2RSWCQOCC2O5R

not attested not anchored not stored refs pending

Property-based Polynomial Invariant Generation using Sums-of-Squares Optimization

Assal\'e Adj\'e (Toulouse), Pierre-Lo\"ic Garoche (Toulouse), Victor Magron

arxiv:1503.07025 v1 · 2015-03-24 · cs.LO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4N2OVESABOAXR2RSWCQOCC2O5R}

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	2026-05-18T02:20:29.513434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e374ea92400b8178ea32b0a0e10b4eec72f674a66e4e58ce863a328b9b6439f0

Aliases

arxiv: 1503.07025 · arxiv_version: 1503.07025v1 · doi: 10.48550/arxiv.1503.07025 · pith_short_12: 4N2OVESABOAX · pith_short_16: 4N2OVESABOAXR2RS · pith_short_8: 4N2OVESA

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/4N2OVESABOAXR2RSWCQOCC2O5R \
  | 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: e374ea92400b8178ea32b0a0e10b4eec72f674a66e4e58ce863a328b9b6439f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4c6744a9bf2bd06095ca2bc265dfa10a48c0233f75f7bf6b6cdd90bbd85cd33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-03-24T13:25:48Z",
    "title_canon_sha256": "e98ab4203aaddd9b8364baa67b9ba56112158db7de2eeb6a8f354595d9b8c53a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07025",
    "kind": "arxiv",
    "version": 1
  }
}