Pith Number

pith:AJB2OEB6

pith:2025:AJB2OEB6U4CRA5QMI4NYRKMRC5

not attested not anchored not stored refs pending

Mathematical Programs Using Tangential Subdifferentials

Dheerendra Singh, Shashi Kant Mishra

arxiv:2509.03205 v1 · 2025-09-03 · 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{AJB2OEB6U4CRA5QMI4NYRKMRC5}

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	2026-07-05T12:04:06.277378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0243a7103ea70510760c471b88a9911760888ebcd4f43e542f04f15acb5c9e88

Aliases

arxiv: 2509.03205 · arxiv_version: 2509.03205v1 · doi: 10.48550/arxiv.2509.03205 · pith_short_12: AJB2OEB6U4CR · pith_short_16: AJB2OEB6U4CRA5QM · pith_short_8: AJB2OEB6

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/AJB2OEB6U4CRA5QMI4NYRKMRC5 \
  | 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: 0243a7103ea70510760c471b88a9911760888ebcd4f43e542f04f15acb5c9e88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd6e60fb49eb8573df4d053852c6a5ab17736350e39834abcf1c5da6c525b5d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-09-03T10:44:55Z",
    "title_canon_sha256": "a3ce807ee84c9b84dcb7a38579e01a38b169650c3113b9aa7aae1e51fb017659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03205",
    "kind": "arxiv",
    "version": 1
  }
}