Pith Number

pith:GNV6I6LP

pith:2010:GNV6I6LPCC6OZHMMVHNBPUDUUT

not attested not anchored not stored refs pending

The Quadratic Graver Cone, Quadratic Integer Minimization, and Extensions

Jon Lee, Lyubov Romanchuk, Robert Weismantel, Shmuel Onn

arxiv:1006.0773 v1 · 2010-06-04 · math.OC · cs.DM · cs.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNV6I6LPCC6OZHMMVHNBPUDUUT}

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	2026-05-18T02:52:32.776510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

336be4796f10bcec9d8ca9da17d074a4e9584840cf802430408e2fd29d593e6a

Aliases

arxiv: 1006.0773 · arxiv_version: 1006.0773v1 · doi: 10.48550/arxiv.1006.0773 · pith_short_12: GNV6I6LPCC6O · pith_short_16: GNV6I6LPCC6OZHMM · pith_short_8: GNV6I6LP

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/GNV6I6LPCC6OZHMMVHNBPUDUUT \
  | 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: 336be4796f10bcec9d8ca9da17d074a4e9584840cf802430408e2fd29d593e6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acce15e6b7cbf9d738ed7ca11854446fc5d8d7171c85bfd27db640d90af63021",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-06-04T02:55:25Z",
    "title_canon_sha256": "040e6afa46c1aba405c9740fe8dc316bc58d1b8ec9d8e32cd47f68aa21b094d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0773",
    "kind": "arxiv",
    "version": 1
  }
}