Pith Number

pith:W3X5CUUS

pith:2011:W3X5CUUS66EALZ2AJN5YIG63DF

not attested not anchored not stored refs pending

A proof of Lov\'asz's theorem on maximal lattice-free sets

Gennadiy Averkov

arxiv:1110.1014 v1 · 2011-10-05 · math.OC · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3X5CUUS66EALZ2AJN5YIG63DF}

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	2026-05-18T04:11:40.000421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6efd15292f78805e7404b7b841bdb197a3bdaada02d28395c80f531a1456b42

Aliases

arxiv: 1110.1014 · arxiv_version: 1110.1014v1 · doi: 10.48550/arxiv.1110.1014 · pith_short_12: W3X5CUUS66EA · pith_short_16: W3X5CUUS66EALZ2A · pith_short_8: W3X5CUUS

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/W3X5CUUS66EALZ2AJN5YIG63DF \
  | 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: b6efd15292f78805e7404b7b841bdb197a3bdaada02d28395c80f531a1456b42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c1f320de1cffb3a5f5d9b5c8f6e6dacec7b1faa8e2e114045658debe1ce84b1",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-10-05T15:03:03Z",
    "title_canon_sha256": "e3b788f40e41aec3f9349781016b2925b8566c4ca060c86bedc3e9342edb8289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1014",
    "kind": "arxiv",
    "version": 1
  }
}