Pith Number

pith:RE3XWAOA

pith:2015:RE3XWAOAS5ZI2DUUVEYDR2KSFT

not attested not anchored not stored refs pending

Monotone Projection Lower Bounds from Extended Formulation Lower Bounds

Joshua A. Grochow

arxiv:1510.08417 v4 · 2015-10-28 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RE3XWAOAS5ZI2DUUVEYDR2KSFT}

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	2026-05-18T00:13:55.476604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89377b01c097728d0e94a93038e9522cda009b49dacf2e21b44b940719513304

Aliases

arxiv: 1510.08417 · arxiv_version: 1510.08417v4 · doi: 10.48550/arxiv.1510.08417 · pith_short_12: RE3XWAOAS5ZI · pith_short_16: RE3XWAOAS5ZI2DUU · pith_short_8: RE3XWAOA

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/RE3XWAOAS5ZI2DUUVEYDR2KSFT \
  | 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: 89377b01c097728d0e94a93038e9522cda009b49dacf2e21b44b940719513304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d174958ae24f497bbbce34af4bd656803c65a2caeda19d8faf5c97c5ab95b122",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-10-28T19:03:13Z",
    "title_canon_sha256": "c7d105f70df5f4a9a6e3176ef011d66342b848f8cd64ef1af777ab6212016edd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08417",
    "kind": "arxiv",
    "version": 4
  }
}