Pith Number

pith:P74JGGNW

pith:2015:P74JGGNWRIUNCOOO3DS2QBRHDH

not attested not anchored not stored refs pending

Subdifferentials of Nonconvex Integral Functionals in Banach Spaces with Applications to Stochastic Dynamic Programming

Boris S. Mordukhovich, Nobusumi Sagara

arxiv:1508.02239 v2 · 2015-08-10 · 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{P74JGGNWRIUNCOOO3DS2QBRHDH}

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	2026-05-18T01:18:18.321352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ff89319b68a28d139ced8e5a8062719e97112a3c9dd16dcbcd459eb6ccac805

Aliases

arxiv: 1508.02239 · arxiv_version: 1508.02239v2 · doi: 10.48550/arxiv.1508.02239 · pith_short_12: P74JGGNWRIUN · pith_short_16: P74JGGNWRIUNCOOO · pith_short_8: P74JGGNW

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/P74JGGNWRIUNCOOO3DS2QBRHDH \
  | 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: 7ff89319b68a28d139ced8e5a8062719e97112a3c9dd16dcbcd459eb6ccac805

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99b0cfc6046ffa8b00a8a6c3cf56b63182e7738eecde63bf846eeb95798bdb55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-08-10T13:30:39Z",
    "title_canon_sha256": "d109cd63a10841d728dac68a92d6215fce9c4671bf499771113c0bd636fa5be4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02239",
    "kind": "arxiv",
    "version": 2
  }
}