Pith Number

pith:4JUZVK6Q

pith:2015:4JUZVK6QPE6AS7ZMYWN55A5Q5P

not attested not anchored not stored refs pending

A polynomially solvable case of the pooling problem

Fabian Rigterink, Natashia Boland, Thomas Kalinowski

arxiv:1508.03181 v4 · 2015-08-13 · 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{4JUZVK6QPE6AS7ZMYWN55A5Q5P}

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	2026-05-18T00:51:07.552057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2699aabd0793c097f2cc59bde83b0ebfc649888bdfe304ac8a400f2c27c5067

Aliases

arxiv: 1508.03181 · arxiv_version: 1508.03181v4 · doi: 10.48550/arxiv.1508.03181 · pith_short_12: 4JUZVK6QPE6A · pith_short_16: 4JUZVK6QPE6AS7ZM · pith_short_8: 4JUZVK6Q

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/4JUZVK6QPE6AS7ZMYWN55A5Q5P \
  | 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: e2699aabd0793c097f2cc59bde83b0ebfc649888bdfe304ac8a400f2c27c5067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b460f410cf314591219e026781a29162f8d9a140d9be63e9627b8c5ec1c5e2ff",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-08-13T11:48:13Z",
    "title_canon_sha256": "ea88631247052e0dd1da4b6a40373059c67bff64eda2b60c0773dca0f5bafaa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03181",
    "kind": "arxiv",
    "version": 4
  }
}