Pith Number

pith:7MYKIPDV

pith:2017:7MYKIPDVDDY37AEAEDXPCQ3SCK

not attested not anchored not stored refs pending

Tighter McCormick Relaxations through Subgradient Propagation

Alexander Mitsos, Jaromi{\l} Najman

arxiv:1710.09188 v1 · 2017-10-25 · 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{7MYKIPDVDDY37AEAEDXPCQ3SCK}

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	2026-05-18T00:32:00.105795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb30a43c7518f1bf808020eef1437212a3d9d74e493d3147d27d1704cc05e3da

Aliases

arxiv: 1710.09188 · arxiv_version: 1710.09188v1 · doi: 10.48550/arxiv.1710.09188 · pith_short_12: 7MYKIPDVDDY3 · pith_short_16: 7MYKIPDVDDY37AEA · pith_short_8: 7MYKIPDV

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/7MYKIPDVDDY37AEAEDXPCQ3SCK \
  | 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: fb30a43c7518f1bf808020eef1437212a3d9d74e493d3147d27d1704cc05e3da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb0700284f48c598c8cb130d136a746038f814cfebcc1f385c69643e97ccf838",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-10-25T12:11:49Z",
    "title_canon_sha256": "4b597263576b4ac538b5e4f8fb8ea6fc75a6ad8de1943c23c5b88eecf50c4af8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09188",
    "kind": "arxiv",
    "version": 1
  }
}