Pith Number

pith:HBDVSDBP

pith:2019:HBDVSDBPRBVXVVVINOLHZU5DF2

not attested not anchored not stored refs pending

New extremal principles with applications to stochastic and semi-infinite programming

Boris S. Mordukhovich, Pedro P\'erez-Aros

arxiv:1911.10850 v3 · 2019-11-25 · 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{HBDVSDBPRBVXVVVINOLHZU5DF2}

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	2026-07-05T01:21:17.218359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3847590c2f886b7ad6a86b967cd3a32ea77b98d15b013f8da41e8b037d919ff9

Aliases

arxiv: 1911.10850 · arxiv_version: 1911.10850v3 · doi: 10.48550/arxiv.1911.10850 · pith_short_12: HBDVSDBPRBVX · pith_short_16: HBDVSDBPRBVXVVVI · pith_short_8: HBDVSDBP

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/HBDVSDBPRBVXVVVINOLHZU5DF2 \
  | 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: 3847590c2f886b7ad6a86b967cd3a32ea77b98d15b013f8da41e8b037d919ff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60d0c462d2d470df19bb582c82af8af18d42d58415ac724f7facdac5097aba0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-11-25T11:54:40Z",
    "title_canon_sha256": "340b65890dd3026b2037a88e44ef7d627f05ec56fc84e8d168b4810a55f53e2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.10850",
    "kind": "arxiv",
    "version": 3
  }
}