Pith Number

pith:6OYR7G3E

pith:2016:6OYR7G3EKML5ZS6NG77L7VC4MX

not attested not anchored not stored refs pending

Slack and Margin Rescaling as Convex Extensions of Supermodular Functions

Matthew B. Blaschko

arxiv:1606.05918 v2 · 2016-06-19 · cs.LG · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6OYR7G3EKML5ZS6NG77L7VC4MX}

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	2026-05-18T00:38:18.699892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3b11f9b645317dccbcd37febfd45c65e7ff49dea3cf49968e643a45dcd2f6b2

Aliases

arxiv: 1606.05918 · arxiv_version: 1606.05918v2 · doi: 10.48550/arxiv.1606.05918 · pith_short_12: 6OYR7G3EKML5 · pith_short_16: 6OYR7G3EKML5ZS6N · pith_short_8: 6OYR7G3E

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/6OYR7G3EKML5ZS6NG77L7VC4MX \
  | 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: f3b11f9b645317dccbcd37febfd45c65e7ff49dea3cf49968e643a45dcd2f6b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27758d43ded4eb7fc16849f4dbb37e7e45c95763e9fa5da68bca914fce381e0b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-06-19T22:17:05Z",
    "title_canon_sha256": "1b7ab948ab706f94e099c291cc06e7e0c5ce3272fa059f0b13975a0cecfb96a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05918",
    "kind": "arxiv",
    "version": 2
  }
}