Pith Number

pith:IKADU5PU

pith:2016:IKADU5PUB76TZP4DD3O4ZJEX4H

not attested not anchored not stored refs pending

Extremality of Convex Sets with Some Applications

Boris Mordukhovich, Nguyen Mau Nam

arxiv:1608.07726 v1 · 2016-08-27 · 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{IKADU5PUB76TZP4DD3O4ZJEX4H}

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	2026-05-18T01:03:37.566807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42803a75f40ffd3cbf831eddcca497e1e5caee04515608f8767c22ad8e3db572

Aliases

arxiv: 1608.07726 · arxiv_version: 1608.07726v1 · doi: 10.48550/arxiv.1608.07726 · pith_short_12: IKADU5PUB76T · pith_short_16: IKADU5PUB76TZP4D · pith_short_8: IKADU5PU

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/IKADU5PUB76TZP4DD3O4ZJEX4H \
  | 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: 42803a75f40ffd3cbf831eddcca497e1e5caee04515608f8767c22ad8e3db572

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b1fa38070eef21e97ae66464fe351b1508bdfc41c71346dece83aef3d97c8ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-08-27T17:06:43Z",
    "title_canon_sha256": "413cc86164ce37613abe5ba3580b560f507163e16ce93598fdf5f4af9f346822"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07726",
    "kind": "arxiv",
    "version": 1
  }
}