Pith Number

pith:WDWM4R7L

pith:2016:WDWM4R7LASHGRE5N2FZPBIJ72N

not attested not anchored not stored refs pending

Variational Geometric Approach to Generalized Differential and Fenchel Conjugate Calculi in Convex Analysis

Boris Mordukhovich, Nguyen Mau Nam, R. Blake Rector, Tuyen Tran

arxiv:1606.08749 v3 · 2016-06-28 · 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{WDWM4R7LASHGRE5N2FZPBIJ72N}

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	2026-05-18T00:44:42.541384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ecce47eb048e6893add172f0a13fd34d642732c2b9ccf3af84f5761ffbaed4

Aliases

arxiv: 1606.08749 · arxiv_version: 1606.08749v3 · doi: 10.48550/arxiv.1606.08749 · pith_short_12: WDWM4R7LASHG · pith_short_16: WDWM4R7LASHGRE5N · pith_short_8: WDWM4R7L

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/WDWM4R7LASHGRE5N2FZPBIJ72N \
  | 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: b0ecce47eb048e6893add172f0a13fd34d642732c2b9ccf3af84f5761ffbaed4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea646c79c6a5964921e9c9a0e819df7efb3ec072dd9aba26cd27203faeb9f89a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-06-28T15:04:52Z",
    "title_canon_sha256": "f68045bd8f174500897e1942d486f3870f8d79d9b7c6575d8113f537a8a07ee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08749",
    "kind": "arxiv",
    "version": 3
  }
}