Pith Number

pith:WDJBLIJQ

pith:2016:WDJBLIJQM2IIXXK2L7DFJOCVGM

not attested not anchored not stored refs pending

Closure and Nonclosure Properties of the Compressible and Rankable Sets

Daniel Rubery, Jackson Abascal, Lane A. Hemaspaandra, Shir Maimon

arxiv:1611.01696 v6 · 2016-11-05 · cs.LO · cs.CC · cs.FL · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDJBLIJQM2IIXXK2L7DFJOCVGM}

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	2026-05-18T00:01:53.728255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0d215a13066908bdd5a5fc654b855333b72f7de8dda75ca175d248709d7d982

Aliases

arxiv: 1611.01696 · arxiv_version: 1611.01696v6 · doi: 10.48550/arxiv.1611.01696 · pith_short_12: WDJBLIJQM2II · pith_short_16: WDJBLIJQM2IIXXK2 · pith_short_8: WDJBLIJQ

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/WDJBLIJQM2IIXXK2L7DFJOCVGM \
  | 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: b0d215a13066908bdd5a5fc654b855333b72f7de8dda75ca175d248709d7d982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec500c82be62159f69a237e0b08aabad5eaedaf9a1b00cda5cf98db490e8f6ea",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.FL",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-11-05T20:31:58Z",
    "title_canon_sha256": "1592ae2d0cd191037565193de17b3f46f1c632367d2950dc2e41a5fef679498b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01696",
    "kind": "arxiv",
    "version": 6
  }
}