Pith Number

pith:TNSRFEZW

pith:2018:TNSRFEZWR4BSQLY7IGCIM4CIS6

not attested not anchored not stored refs pending

Convex Hull Formulations for Mixed-Integer Multilinear Functions

Harsha Nagarajan, Hassan Hijazi, Kaarthik Sundar, Russell Bent

arxiv:1807.11007 v1 · 2018-07-29 · math.OC · 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{TNSRFEZWR4BSQLY7IGCIM4CIS6}

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	2026-05-17T23:53:29.653736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b651293368f03282f1f418486704897a5ae33e29a9be721bcd7cde7c75c6d00

Aliases

arxiv: 1807.11007 · arxiv_version: 1807.11007v1 · doi: 10.48550/arxiv.1807.11007 · pith_short_12: TNSRFEZWR4BS · pith_short_16: TNSRFEZWR4BSQLY7 · pith_short_8: TNSRFEZW

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/TNSRFEZWR4BSQLY7IGCIM4CIS6 \
  | 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: 9b651293368f03282f1f418486704897a5ae33e29a9be721bcd7cde7c75c6d00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "521fb16236fc759392c8ba2821d77b9686b0ee6d3600464c8c31407fdf7141ab",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-07-29T06:18:23Z",
    "title_canon_sha256": "1bfb98bec70f0d927dd72ff6fb7be92089878ba3dfe9b0967cf4e70986136076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11007",
    "kind": "arxiv",
    "version": 1
  }
}