Pith Number

pith:HETLOOAJ

pith:2024:HETLOOAJXZYBZC37S47BIS2SL3

not attested not anchored not stored refs pending

Discrete approximations and optimality conditions for integro-differential inclusions

Abderrahim Bouach, Boris S. Mordukhovich, Tahar Haddad

arxiv:2408.02856 v2 · 2024-08-05 · 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{HETLOOAJXZYBZC37S47BIS2SL3}

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	2026-07-05T09:15:58.991753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3926b73809be701c8b7f973e144b525ecf14744d3224e9aba0337dfa334f452b

Aliases

arxiv: 2408.02856 · arxiv_version: 2408.02856v2 · doi: 10.48550/arxiv.2408.02856 · pith_short_12: HETLOOAJXZYB · pith_short_16: HETLOOAJXZYBZC37 · pith_short_8: HETLOOAJ

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/HETLOOAJXZYBZC37S47BIS2SL3 \
  | 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: 3926b73809be701c8b7f973e144b525ecf14744d3224e9aba0337dfa334f452b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d7b5bd1b115b595ffde78a30b530e22b3c84381b555b9abae10efe7a53806cf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-08-05T22:49:22Z",
    "title_canon_sha256": "7505e80bcb7a1d513b3d38a9fa02e438ee0eca9a137a799a5c5300c22bfe70b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.02856",
    "kind": "arxiv",
    "version": 2
  }
}