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Pith Number

pith:CDEPONKZ

pith:2020:CDEPONKZ3XPGJDAWPSCG6OYPET
not attested not anchored not stored refs pending

On the strong concavity of the dual function of an optimization problem

Vincent Guigues

arxiv:2006.16781 v6 · 2020-06-27 · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CDEPONKZ3XPGJDAWPSCG6OYPET}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T02:36:44.310267Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

10c8f73559ddde648c167c846f3b0f24da5267f8a488731dc38a1e989b65e7ab

Aliases

arxiv: 2006.16781 · arxiv_version: 2006.16781v6 · doi: 10.48550/arxiv.2006.16781 · pith_short_12: CDEPONKZ3XPG · pith_short_16: CDEPONKZ3XPGJDAW · pith_short_8: CDEPONKZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CDEPONKZ3XPGJDAWPSCG6OYPET \
  | 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: 10c8f73559ddde648c167c846f3b0f24da5267f8a488731dc38a1e989b65e7ab
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f6f0dfb395e63be5d54c9f3303b7eb4558c0a3c38b1916b89c0c91f5f94d6739",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-06-27T22:54:47Z",
    "title_canon_sha256": "b7a57397afaa278e53931d77420dd96143e0137d2f3041d48b66e27674831516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.16781",
    "kind": "arxiv",
    "version": 6
  }
}