Pith Number

pith:F4XELJTK

pith:2021:F4XELJTKJLAPVYP5VJSNG6SVN6

not attested not anchored not stored refs pending

Semialgebraic Representation of Monotone Deep Equilibrium Models and Applications to Certification

Edouard Pauwels, Jean-Bernard Lasserre, Tong Chen, Victor Magron

arxiv:2106.01453 v1 · 2021-06-02 · 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{F4XELJTKJLAPVYP5VJSNG6SVN6}

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	2026-07-05T02:45:51.662474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2e45a66a4ac0fae1fdaa64d37a556f9e065c11ece28c3d0bcd848a69e76086

Aliases

arxiv: 2106.01453 · arxiv_version: 2106.01453v1 · doi: 10.48550/arxiv.2106.01453 · pith_short_12: F4XELJTKJLAP · pith_short_16: F4XELJTKJLAPVYP5 · pith_short_8: F4XELJTK

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/F4XELJTKJLAPVYP5VJSNG6SVN6 \
  | 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: 2f2e45a66a4ac0fae1fdaa64d37a556f9e065c11ece28c3d0bcd848a69e76086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf3053bda225191a09df995b69cbec488708a1a13dd05c8acc20a8c07d13f0cf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-06-02T20:21:07Z",
    "title_canon_sha256": "bce377d1ba89dc0052be1e7c4831d92442ee29e99fa5a941f0947c1010d0cdf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.01453",
    "kind": "arxiv",
    "version": 1
  }
}