Pith Number

pith:EJ7CIYPF

pith:2018:EJ7CIYPF6II2AMN47A5C4RFM23

not attested not anchored not stored refs pending

Simpler derivation of bounded pitch inequalities for set covering, and minimum knapsack sets

Daniel Bienstock, Mark Zuckerberg

arxiv:1806.07435 v1 · 2018-06-19 · 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{EJ7CIYPF6II2AMN47A5C4RFM23}

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	2026-05-18T00:12:47.763267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

227e2461e5f211a031bcf83a2e44acd6dcb33117ebebe2f871d5d91d80bd31e7

Aliases

arxiv: 1806.07435 · arxiv_version: 1806.07435v1 · doi: 10.48550/arxiv.1806.07435 · pith_short_12: EJ7CIYPF6II2 · pith_short_16: EJ7CIYPF6II2AMN4 · pith_short_8: EJ7CIYPF

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/EJ7CIYPF6II2AMN47A5C4RFM23 \
  | 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: 227e2461e5f211a031bcf83a2e44acd6dcb33117ebebe2f871d5d91d80bd31e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0303531a0b1a96c426c24d65f8f0ddfa2c4eb72179486728e07a791cdf08a196",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-19T19:26:06Z",
    "title_canon_sha256": "c925f60b125ab59a53004b4ccc4847db590bacab942f7e30e58009959baf5def"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07435",
    "kind": "arxiv",
    "version": 1
  }
}