Pith Number

pith:PZGOK3AI

pith:2022:PZGOK3AIJPWYRPDCRGK3XI3SS2

not attested not anchored not stored refs pending

Dominance for Containment Problems

Sanjeev Saxena, Waseem Akram

arxiv:2212.10247 v1 · 2022-12-20 · cs.DS · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZGOK3AIJPWYRPDCRGK3XI3SS2}

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	2026-07-05T09:40:52.274852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e4ce56c084bed88bc628995bba3729698b8e1c5744fb804de85007023c432b2

Aliases

arxiv: 2212.10247 · arxiv_version: 2212.10247v1 · doi: 10.48550/arxiv.2212.10247 · pith_short_12: PZGOK3AIJPWY · pith_short_16: PZGOK3AIJPWYRPDC · pith_short_8: PZGOK3AI

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/PZGOK3AIJPWYRPDCRGK3XI3SS2 \
  | 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: 7e4ce56c084bed88bc628995bba3729698b8e1c5744fb804de85007023c432b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87d3e8c943714929ce94367dc678eb838cdd1519aef8b109e6bfc6b1b6a1a9ab",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2022-12-20T13:44:45Z",
    "title_canon_sha256": "bdd685521f8cbf28b01fb8771123ef7f07f7715644cea3df6adc3f8855c1da5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.10247",
    "kind": "arxiv",
    "version": 1
  }
}