Pith Number

pith:3AVK42KA

pith:2014:3AVK42KAK24HBT3XFJZN4RDB44

not attested not anchored not stored refs pending

Complete Duality for Quasiconvex and Convex Set-Valued Functions

Andreas H. Hamel, Michael Kupper, Samuel Drapeau

arxiv:1405.0219 v4 · 2014-05-01 · 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{3AVK42KAK24HBT3XFJZN4RDB44}

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	2026-05-18T01:53:09.427992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d82aae694056b870cf772a72de4461e71d1e2fb36b0d62e9ccd0126d8cdea21e

Aliases

arxiv: 1405.0219 · arxiv_version: 1405.0219v4 · doi: 10.48550/arxiv.1405.0219 · pith_short_12: 3AVK42KAK24H · pith_short_16: 3AVK42KAK24HBT3X · pith_short_8: 3AVK42KA

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/3AVK42KAK24HBT3XFJZN4RDB44 \
  | 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: d82aae694056b870cf772a72de4461e71d1e2fb36b0d62e9ccd0126d8cdea21e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe123c7b884aded92540355144080ce89852a351ccffe9e5890eca19d4e2b2bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-05-01T17:01:30Z",
    "title_canon_sha256": "2333df1429f479f83973198b8ffa5862aaa496438e50033ca25f2d1af7ef9896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0219",
    "kind": "arxiv",
    "version": 4
  }
}