Pith Number

pith:G3JK2V7K

pith:2018:G3JK2V7KS4PIXUOPBP36ABLMLR

not attested not anchored not stored refs pending

Tight MIP formulations for bounded length cyclic sequences

Hamish Waterer, Thomas Kalinowski, Tomas Lid\'en

arxiv:1809.01773 v1 · 2018-09-06 · math.OC · cs.DM · 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{G3JK2V7KS4PIXUOPBP36ABLMLR}

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	2026-05-18T00:06:21.928415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36d2ad57ea971e8bd1cf0bf7e0056c5c5cdae821b25a67f5dd286bf8b9e7da89

Aliases

arxiv: 1809.01773 · arxiv_version: 1809.01773v1 · doi: 10.48550/arxiv.1809.01773 · pith_short_12: G3JK2V7KS4PI · pith_short_16: G3JK2V7KS4PIXUOP · pith_short_8: G3JK2V7K

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/G3JK2V7KS4PIXUOPBP36ABLMLR \
  | 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: 36d2ad57ea971e8bd1cf0bf7e0056c5c5cdae821b25a67f5dd286bf8b9e7da89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08602518570ea38cc20af5515ce7d407cb1d1448f190ab5746e9125c9e3ea718",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-09-06T00:39:12Z",
    "title_canon_sha256": "571299fff26c539a6e362b95f37e7e132e1dc23cbc1c45f1d1978073141b877b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01773",
    "kind": "arxiv",
    "version": 1
  }
}