Pith Number

pith:PU2DX7RB

pith:2015:PU2DX7RB7QBB7NPXTX6E5CY4JC

not attested not anchored not stored refs pending

Generalized differentiation of piecewise linear functions in second-order variational analysis

Boris S. Mordukhovich, M. Ebrahim Sarabi

arxiv:1507.05347 v1 · 2015-07-19 · 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{PU2DX7RB7QBB7NPXTX6E5CY4JC}

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	2026-05-18T01:36:37.062618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d343bfe21fc021fb5f79dfc4e8b1c48b6e73f3e7ba24b2e52d162c1590ec5f3

Aliases

arxiv: 1507.05347 · arxiv_version: 1507.05347v1 · doi: 10.48550/arxiv.1507.05347 · pith_short_12: PU2DX7RB7QBB · pith_short_16: PU2DX7RB7QBB7NPX · pith_short_8: PU2DX7RB

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/PU2DX7RB7QBB7NPXTX6E5CY4JC \
  | 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: 7d343bfe21fc021fb5f79dfc4e8b1c48b6e73f3e7ba24b2e52d162c1590ec5f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "036a9751eae64c0d2c9c26f61e28dbf187ddbdd633776a2e7432f27f0a9df50f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-07-19T22:29:11Z",
    "title_canon_sha256": "cf32fe1fcf2643bcf2ce631ddb7c877f1dbe69f3a10e8ce3aff1d5d72aa7bce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05347",
    "kind": "arxiv",
    "version": 1
  }
}