Pith Number

pith:2HUXLIKE

pith:2009:2HUXLIKEJ4Q4FNPHSFT5TRLHMR

not attested not anchored not stored refs pending

Probabilistic Representation and Approximation for Coupled Systems of Variational Inequalities

CEREMADE), Idris Kharroubi (CREST, Romuald Elie (CREST

arxiv:0909.0998 v2 · 2009-09-05 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HUXLIKEJ4Q4FNPHSFT5TRLHMR}

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	2026-05-18T03:02:57.620244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1e975a1444f21c2b5e79167d9c567647bbab2dbc66bd4de5a796ffcf046f073

Aliases

arxiv: 0909.0998 · arxiv_version: 0909.0998v2 · doi: 10.48550/arxiv.0909.0998 · pith_short_12: 2HUXLIKEJ4Q4 · pith_short_16: 2HUXLIKEJ4Q4FNPH · pith_short_8: 2HUXLIKE

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/2HUXLIKEJ4Q4FNPHSFT5TRLHMR \
  | 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: d1e975a1444f21c2b5e79167d9c567647bbab2dbc66bd4de5a796ffcf046f073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c07a3da121e5b3087510a653c3b032e3bfb608accff451f856ff03ea27115913",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-05T06:21:45Z",
    "title_canon_sha256": "3982660011e6f385a88a28957f95b613af9be6eabd1848f551173083a1c5abf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0998",
    "kind": "arxiv",
    "version": 2
  }
}